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10021432314 = 23193771109307
BaseRepresentation
bin10010101010101001…
…01110101111111010
3221212102002111201210
421111110232233322
5131010441313224
64334230023550
7503224524555
oct112524565772
927772074653
1010021432314
114282923473
121b381a7bb6
13c3928280a
146b0d4169c
153d9be3429
hex25552ebfa

10021432314 has 128 divisors (see below), whose sum is σ = 22246963200. Its totient is φ = 2998114560.

The previous prime is 10021432313. The next prime is 10021432319. The reversal of 10021432314 is 41323412001.

It is not an unprimeable number, because it can be changed into a prime (10021432313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32642949 + ... + 32643255.

It is an arithmetic number, because the mean of its divisors is an integer number (173804400).

Almost surely, 210021432314 is an apocalyptic number.

10021432314 is an abundant number, since it is smaller than the sum of its proper divisors (12225530886).

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

10021432314 is a wasteful number, since it uses less digits than its factorization.

10021432314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10021432314 its reverse (41323412001), we get a palindrome (51344844315).

The spelling of 10021432314 in words is "ten billion, twenty-one million, four hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 19 37 38 57 71 74 109 111 114 142 213 218 222 307 327 426 614 654 703 921 1349 1406 1842 2071 2109 2627 2698 4033 4047 4142 4218 5254 5833 6213 7739 7881 8066 8094 11359 11666 12099 12426 15478 15762 17499 21797 22718 23217 24198 33463 34077 34998 43594 46434 49913 65391 66926 68154 76627 99826 100389 130782 147041 149739 153254 200778 215821 229881 286343 294082 299478 414143 431642 441123 459762 572686 635797 647463 806489 828286 859029 882246 1238131 1242429 1271594 1294926 1612978 1718058 1907391 2375873 2419467 2476262 2484858 3714393 3814782 4751746 4838934 5440517 7127619 7428786 10881034 14255238 15323291 16321551 23524489 30646582 32643102 45141587 45969873 47048978 70573467 87907301 90283174 91939746 135424761 141146934 175814602 263721903 270849522 527443806 1670238719 3340477438 5010716157 10021432314