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103014102111440 = 24513713973514103
BaseRepresentation
bin10111011011000011010110…
…111101101001010011010000
3111111202001101220012021212112
4113123003112331221103100
5102000240340120031230
61003032005235244452
730461344324313012
oct2733032675512320
9444661356167775
10103014102111440
112a907043084a03
12b6789a6449728
13456325a487590
141b61ca29a21b2
15bd99770b6d95
hex5db0d6f694d0

103014102111440 has 160 divisors (see below), whose sum is σ = 262223227639296. Its totient is φ = 37405788456960.

The previous prime is 103014102111421. The next prime is 103014102111491. The reversal of 103014102111440 is 44111201410301.

It is a super-2 number, since 2×1030141021114402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27557429 + ... + 31071531.

Almost surely, 2103014102111440 is an apocalyptic number.

103014102111440 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 103014102111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131111613819648).

103014102111440 is an abundant number, since it is smaller than the sum of its proper divisors (159209125527856).

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

103014102111440 is a wasteful number, since it uses less digits than its factorization.

103014102111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514597 (or 3514591 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 103014102111440 its reverse (44111201410301), we get a palindrome (147125303521741).

The spelling of 103014102111440 in words is "one hundred three trillion, fourteen billion, one hundred two million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 208 260 284 355 397 520 568 710 794 923 1040 1136 1420 1588 1846 1985 2840 3176 3692 3970 4615 5161 5680 6352 7384 7940 9230 10322 14768 15880 18460 20644 25805 28187 31760 36920 41288 51610 56374 73840 82576 103220 112748 140935 206440 225496 281870 366431 412880 450992 563740 732862 1127480 1465724 1832155 2254960 2931448 3514103 3664310 5862896 7028206 7328620 14056412 14657240 17570515 28112824 29314480 35141030 45683339 56225648 70282060 91366678 140564120 182733356 228416695 249501313 281128240 365466712 456833390 499002626 730933424 913666780 998005252 1247506565 1395098891 1827333560 1996010504 2495013130 2790197782 3243517069 3654667120 3992021008 4990026260 5580395564 6487034138 6975494455 9980052520 11160791128 12974068276 13950988910 16217585345 18136285583 19960105040 22321582256 25948136552 27901977820 32435170690 36272571166 51896273104 55803955640 64870341380 72545142332 90681427915 99052021261 111607911280 129740682760 145090284664 181362855830 198104042522 259481365520 290180569328 362725711660 396208085044 495260106305 725451423320 792416170088 990520212610 1287676276393 1450902846640 1584832340176 1981040425220 2575352552786 3962080850440 5150705105572 6438381381965 7924161700880 10301410211144 12876762763930 20602820422288 25753525527860 51507051055720 103014102111440