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10232221003032 = 2337195393594397
BaseRepresentation
bin1001010011100101111111…
…1001011110110100011000
31100020012011002000111002110
42110321133321132310120
52320121042034044112
633432341211032320
72104152655323540
oct224713771366430
940205132014073
1010232221003032
113295508003746
1211930a613b6a0
13592b81a15c62
14275356602320
1512b26beab13c
hex94e5fe5ed18

10232221003032 has 128 divisors (see below), whose sum is σ = 30779354995200. Its totient is φ = 2769105512448.

The previous prime is 10232221003009. The next prime is 10232221003061. The reversal of 10232221003032 is 23030012223201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 16917258 + ... + 17511654.

It is an arithmetic number, because the mean of its divisors is an integer number (240463710900).

Almost surely, 210232221003032 is an apocalyptic number.

10232221003032 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 10232221003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389677497600).

10232221003032 is an abundant number, since it is smaller than the sum of its proper divisors (20547133992168).

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

10232221003032 is a wasteful number, since it uses less digits than its factorization.

10232221003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599825 (or 599821 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10232221003032 its reverse (23030012223201), we get a palindrome (33262233226233).

The spelling of 10232221003032 in words is "ten trillion, two hundred thirty-two billion, two hundred twenty-one million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 5393 10786 16179 21572 32358 37751 43144 64716 75502 102467 113253 129432 151004 204934 226506 302008 307401 409868 453012 594397 614802 717269 819736 906024 1188794 1229604 1434538 1783191 2151807 2377588 2459208 2869076 3566382 4160779 4303614 4755176 5738152 7132764 8321558 8607228 11293543 12482337 14265528 16643116 17214456 22587086 24964674 33286232 33880629 45174172 49929348 67761258 79054801 90348344 99858696 135522516 158109602 237164403 271045032 316219204 474328806 632438408 948657612 1897315224 3205583021 6411166042 9616749063 12822332084 19233498126 22439081147 25644664168 38466996252 44878162294 60906077399 67317243441 76933992504 89756324588 121812154798 134634486882 179512649176 182718232197 243624309596 269268973764 365436464394 426342541793 487248619192 538537947528 730872928788 852685083586 1279027625379 1461745857576 1705370167172 2558055250758 3410740334344 5116110501516 10232221003032