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10221331032 = 2334111798011
BaseRepresentation
bin10011000010011110…
…10010001001011000
3222101100020102020000
421201033102021120
5131413130043112
64410130333000
7511202610633
oct114117221130
928340212200
1010221331032
114375747320
121b9312a160
13c6b802993
146cd6d8c1a
153ec52c7dc
hex2613d2258

10221331032 has 160 divisors (see below), whose sum is σ = 31410244800. Its totient is φ = 3079684800.

The previous prime is 10221331019. The next prime is 10221331049. The reversal of 10221331032 is 23013312201.

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 = 10221330996 and 10221331014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1271907 + ... + 1279917.

It is an arithmetic number, because the mean of its divisors is an integer number (196314030).

Almost surely, 210221331032 is an apocalyptic number.

10221331032 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 10221331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705122400).

10221331032 is an abundant number, since it is smaller than the sum of its proper divisors (21188913768).

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

10221331032 is a wasteful number, since it uses less digits than its factorization.

10221331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8219 (or 8206 counting only the distinct ones).

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

Adding to 10221331032 its reverse (23013312201), we get a palindrome (33234643233).

It can be divided in two parts, 1022133 and 1032, that added together give a triangular number (1023165 = T1430).

The spelling of 10221331032 in words is "ten billion, two hundred twenty-one million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 179 198 216 264 297 324 358 396 537 594 648 716 792 891 1074 1188 1432 1611 1782 1969 2148 2376 3222 3564 3938 4296 4833 5907 6444 7128 7876 8011 9666 11814 12888 14499 15752 16022 17721 19332 23628 24033 28998 32044 35442 38664 47256 48066 53163 57996 64088 70884 72099 88121 96132 106326 115992 141768 144198 159489 176242 192264 212652 216297 264363 288396 318978 352484 425304 432594 528726 576792 637956 648891 704968 793089 865188 1057452 1275912 1297782 1433969 1586178 1730376 2114904 2379267 2595564 2867938 3172356 4301907 4758534 5191128 5735876 6344712 7137801 8603814 9517068 11471752 12905721 14275602 15773659 17207628 19034136 25811442 28551204 31547318 34415256 38717163 47320977 51622884 57102408 63094636 77434326 94641954 103245768 116151489 126189272 141962931 154868652 189283908 232302978 283925862 309737304 378567816 425888793 464605956 567851724 851777586 929211912 1135703448 1277666379 1703555172 2555332758 3407110344 5110665516 10221331032