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103011010332020 = 225721632832278681
BaseRepresentation
bin10111011011000000011110…
…101011011100010101110100
3111111201202102102110121211122
4113123000132223130111310
5102000213022121111040
61003030334351523112
730461204602523600
oct2733003653342564
9444652372417748
10103011010332020
112a9057a69282aa
12b678282b29498
134562b86a7a1bb
141b61a8c108500
15bd98459441b5
hex5db01eadc574

103011010332020 has 144 divisors (see below), whose sum is σ = 254079751439808. Its totient is φ = 34977336952320.

The previous prime is 103011010332011. The next prime is 103011010332023. The reversal of 103011010332020 is 20233010110301.

It is a super-2 number, since 2×1030110103320202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103011010332020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011010332023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44067080 + ... + 46345760.

It is an arithmetic number, because the mean of its divisors is an integer number (1764442718332).

Almost surely, 2103011010332020 is an apocalyptic number.

103011010332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103011010332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127039875719904).

103011010332020 is an abundant number, since it is smaller than the sum of its proper divisors (151068741107788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103011010332020 is a wasteful number, since it uses less digits than its factorization.

103011010332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279150 (or 2279141 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103011010332020 its reverse (20233010110301), we get a palindrome (123244020442321).

The spelling of 103011010332020 in words is "one hundred three trillion, eleven billion, ten million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 163 196 245 283 326 490 566 652 815 980 1132 1141 1415 1630 1981 2282 2830 3260 3962 4564 5660 5705 7924 7987 9905 11410 13867 15974 19810 22820 27734 31948 39620 39935 46129 55468 69335 79870 92258 138670 159740 184516 230645 277340 322903 461290 645806 922580 1291612 1614515 2260321 2278681 3229030 4520642 4557362 6458060 9041284 9114724 11301605 11393405 15950767 22603210 22786810 31901534 45206420 45573620 63803068 79753835 111655369 159507670 223310738 319015340 371425003 446621476 558276845 644866723 742850006 1116553690 1289733446 1485700012 1857125015 2233107380 2579466892 2599975021 3224333615 3714250030 4514067061 5199950042 6448667230 7428500060 9028134122 10399900084 12897334460 12999875105 18056268244 18199825147 22570335305 25999750210 31598469427 36399650294 45140670610 51999500420 63196938854 72799300588 90281341220 90999125735 105113275849 126393877708 157992347135 181998251470 210226551698 315984694270 363996502940 420453103396 525566379245 631969388540 735792930943 1051132758490 1471585861886 2102265516980 2943171723772 3678964654715 5150550516601 7357929309430 10301101033202 14715858618860 20602202066404 25752752583005 51505505166010 103011010332020