Search a number
-
+
103033020012020 = 225717223333109139
BaseRepresentation
bin10111011011010100111110…
…100011101101010111110100
3111111210212020022120012202222
4113123110332203231113310
5102001043111110341040
61003044414351421512
730462614166650060
oct2733247643552764
9444725208505688
10103033020012020
112a91407080568a
12b6805a5b24898
134564c8390b1a7
141b62b79288aa0
15bda1d2d35bb5
hex5db53e8ed5f4

103033020012020 has 144 divisors (see below), whose sum is σ = 262694388539520. Its totient is φ = 33245900445696.

The previous prime is 103033020012019. The next prime is 103033020012101. The reversal of 103033020012020 is 20210020330301.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 103033020012020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 943998611 + ... + 944107749.

It is an arithmetic number, because the mean of its divisors is an integer number (1824266587080).

Almost surely, 2103033020012020 is an apocalyptic number.

103033020012020 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 103033020012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131347194269760).

103033020012020 is an abundant number, since it is smaller than the sum of its proper divisors (159661368527500).

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

103033020012020 is a wasteful number, since it uses less digits than its factorization.

103033020012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132522 (or 132503 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 103033020012020 its reverse (20210020330301), we get a palindrome (123243040342321).

The spelling of 103033020012020 in words is "one hundred three trillion, thirty-three billion, twenty million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 289 340 476 578 595 1156 1190 1445 2023 2380 2890 4046 5780 8092 10115 20230 23333 40460 46666 93332 109139 116665 163331 218278 233330 326662 396661 436556 466660 545695 653324 763973 793322 816655 1091390 1527946 1586644 1633310 1855363 1983305 2182780 2776627 3055892 3266620 3710726 3819865 3966610 5553254 6743237 7421452 7639730 7933220 9276815 11106508 12987541 13486474 13883135 15279460 18553630 25975082 26972948 27766270 31541171 33716185 37107260 47202659 51950164 55532540 63082342 64937705 67432370 94405318 126164684 129875410 134864740 157705855 188810636 220788197 236013295 259750820 315411710 441576394 472026590 630823420 883152788 944053180 1103940985 2207881970 2546540287 4415763940 5093080574 10186161148 12732701435 17825782009 25465402870 35651564018 43291184879 50930805740 71303128036 86582369758 89128910045 173164739516 178257820090 216455924395 303038294153 356515640180 432911848790 606076588306 735950142943 865823697580 1212153176612 1471900285886 1515191470765 2943800571772 3030382941530 3679750714715 5151651000601 6060765883060 7359501429430 10303302001202 14719002858860 20606604002404 25758255003005 51516510006010 103033020012020