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10233112032 = 25321113248473
BaseRepresentation
bin10011000011111000…
…01110010111100000
3222102011101221201100
421201330032113200
5131424134041112
64411231034400
7511405005603
oct114174162740
928364357640
1010233112032
114381363590
121b9706ba00
13c710990a0
146d10c433a
153ed5a82dc
hex261f0e5e0

10233112032 has 144 divisors (see below), whose sum is σ = 34188034608. Its totient is φ = 2862397440.

The previous prime is 10233112009. The next prime is 10233112049. The reversal of 10233112032 is 23021133201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10233111996 and 10233112014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83053 + ... + 165420.

It is an arithmetic number, because the mean of its divisors is an integer number (237416907).

Almost surely, 210233112032 is an apocalyptic number.

10233112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10233112032 is an abundant number, since it is smaller than the sum of its proper divisors (23954922576).

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

10233112032 is a wasteful number, since it uses less digits than its factorization.

10233112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248513 (or 248502 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10233112032 its reverse (23021133201), we get a palindrome (33254245233).

It can be divided in two parts, 10233 and 112032, that added together give a triangular number (122265 = T494).

The spelling of 10233112032 in words is "ten billion, two hundred thirty-three million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 41184 248473 496946 745419 993892 1490838 1987784 2236257 2733203 2981676 3230149 3975568 4472514 5466406 5963352 6460298 7951136 8199609 8945028 9690447 10932812 11926704 12920596 16399218 17890056 19380894 21865624 23853408 24598827 25841192 29071341 32798436 35531639 35780112 38761788 43731248 49197654 51682384 58142682 65596872 71063278 71560224 77523576 87462496 98395308 103364768 106594917 116285364 131193744 142126556 155047152 196790616 213189834 232570728 262387488 284253112 310094304 319784751 393581232 426379668 465141456 568506224 639569502 787162464 852759336 930282912 1137012448 1279139004 1705518672 2558278008 3411037344 5116556016 10233112032