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10133233032 = 2331371619739
BaseRepresentation
bin10010110111111110…
…01101110110001000
3222011012110120111010
421123333031312020
5131223101424112
64353302203520
7506053026306
oct113377156610
928135416433
1010133233032
11432aa44a5a
121b697235a0
13c564986a0
146c1b25276
153e492963c
hex25bfcdd88

10133233032 has 128 divisors (see below), whose sum is σ = 27748224000. Its totient is φ = 3064884480.

The previous prime is 10133233021. The next prime is 10133233043. The reversal of 10133233032 is 23033233101.

It is an interprime number because it is at equal distance from previous prime (10133233021) and next prime (10133233043).

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, 13711719 + ... + 13712457.

It is an arithmetic number, because the mean of its divisors is an integer number (216783000).

Almost surely, 210133233032 is an apocalyptic number.

10133233032 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 10133233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874112000).

10133233032 is an abundant number, since it is smaller than the sum of its proper divisors (17614990968).

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

10133233032 is a wasteful number, since it uses less digits than its factorization.

10133233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10133233032 its reverse (23033233101), we get a palindrome (33166466133).

The spelling of 10133233032 in words is "ten billion, one hundred thirty-three million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 104 142 156 213 284 312 426 568 619 739 852 923 1238 1478 1704 1846 1857 2217 2476 2769 2956 3692 3714 4434 4952 5538 5912 7384 7428 8047 8868 9607 11076 14856 16094 17736 19214 22152 24141 28821 32188 38428 43949 48282 52469 57642 64376 76856 87898 96564 104938 115284 131847 157407 175796 193128 209876 230568 263694 314814 351592 419752 457441 527388 571337 629628 682097 914882 1054776 1142674 1259256 1364194 1372323 1714011 1829764 2046291 2285348 2728388 2744646 3428022 3659528 4092582 4570696 5456776 5489292 5946733 6856044 8185164 10978584 11893466 13712088 16370328 17840199 23786932 32478311 35680398 47573864 64956622 71360796 97434933 129913244 142721592 194869866 259826488 389739732 422218043 779479464 844436086 1266654129 1688872172 2533308258 3377744344 5066616516 10133233032