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10332122112 = 210321386239
BaseRepresentation
bin10011001111101011…
…11010110000000000
3222200001201012000100
421213311322300000
5132130010401422
64425125122400
7514016405664
oct114765726000
928601635010
1010332122112
1144222392a4
122004259400
13c88754130
147002d88a4
154071147ac
hex267d7ac00

10332122112 has 132 divisors (see below), whose sum is σ = 32129056960. Its totient is φ = 3179077632.

The previous prime is 10332122107. The next prime is 10332122149. The reversal of 10332122112 is 21122123301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76689 + ... + 162927.

Almost surely, 210332122112 is an apocalyptic number.

10332122112 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 10332122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064528480).

10332122112 is an abundant number, since it is smaller than the sum of its proper divisors (21796934848).

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

10332122112 is a wasteful number, since it uses less digits than its factorization.

10332122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86278 (or 86257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10332122112 its reverse (21122123301), we get a palindrome (31454245413).

The spelling of 10332122112 in words is "ten billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 6656 7488 9216 9984 13312 14976 19968 29952 39936 59904 86239 119808 172478 258717 344956 517434 689912 776151 1034868 1121107 1379824 1552302 2069736 2242214 2759648 3104604 3363321 4139472 4484428 5519296 6209208 6726642 8278944 8968856 10089963 11038592 12418416 13453284 16557888 17937712 20179926 22077184 24836832 26906568 33115776 35875424 40359852 44154368 49673664 53813136 66231552 71750848 80719704 88308736 99347328 107626272 132463104 143501696 161439408 198694656 215252544 264926208 287003392 322878816 397389312 430505088 574006784 645757632 794778624 861010176 1148013568 1291515264 1722020352 2583030528 3444040704 5166061056 10332122112