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103031023100232 = 233192912916035023
BaseRepresentation
bin10111011011010011000111…
…100010000110000101001000
3111111210200002011000120210010
4113123103013202012011020
5102001030013403201412
61003043444254551520
730462513541326603
oct2733230742060510
9444720064016703
10103031023100232
112a913236588267
12b6801292085a0
134564a25ca5696
141b62a29d9533a
15bda11788333c
hex5db4c7886148

103031023100232 has 128 divisors (see below), whose sum is σ = 280701036288000. Its totient is φ = 31389839228160.

The previous prime is 103031023100209. The next prime is 103031023100279. The reversal of 103031023100232 is 232001320130301.

It is a junction number, because it is equal to n+sod(n) for n = 103031023100199 and 103031023100208.

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, 14054673 + ... + 20089695.

It is an arithmetic number, because the mean of its divisors is an integer number (2192976846000).

Almost surely, 2103031023100232 is an apocalyptic number.

103031023100232 is a gapful number since it is divisible by the number (12) 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 103031023100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140350518144000).

103031023100232 is an abundant number, since it is smaller than the sum of its proper divisors (177670013187768).

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

103031023100232 is a wasteful number, since it uses less digits than its factorization.

103031023100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036371 (or 6036367 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103031023100232 its reverse (232001320130301), we get a palindrome (335032343230533).

The spelling of 103031023100232 in words is "one hundred three trillion, thirty-one billion, twenty-three million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1291 1653 2204 2582 3306 3873 4408 5164 6612 7746 10328 13224 15492 24529 30984 37439 49058 73587 74878 98116 112317 147174 149756 196232 224634 294348 299512 449268 588696 711341 898536 1422682 2134023 2845364 4268046 5690728 6035023 8536092 12070046 17072184 18105069 24140092 36210138 48280184 72420276 114665437 144840552 175015667 229330874 343996311 350031334 458661748 525047001 687992622 700062668 917323496 1050094002 1375985244 1400125336 2100188004 2751970488 3325297673 4200376008 6650595346 7791214693 9975893019 13301190692 15582429386 19951786038 23373644079 26602381384 31164858772 39903572076 46747288158 62329717544 79807144152 93494576316 148033079167 186989152632 225945226097 296066158334 444099237501 451890452194 592132316668 677835678291 888198475002 903780904388 1184264633336 1355671356582 1776396950004 1807561808776 2711342713164 3552793900008 4292959295843 5422685426328 8585918591686 12878877887529 17171837183372 25757755775058 34343674366744 51515511550116 103031023100232