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10103132314 = 21119314753313
BaseRepresentation
bin10010110100011000…
…11001000010011010
3222002002211022001201
421122030121002122
5131142400213224
64350305104414
7505236131152
oct113214310232
928062738051
1010103132314
114314a55930
121b5b62810a
13c50189902
146bbb2b762
153e1e80a44
hex25a31909a

10103132314 has 128 divisors (see below), whose sum is σ = 18751979520. Its totient is φ = 4030041600.

The previous prime is 10103132309. The next prime is 10103132353. The reversal of 10103132314 is 41323130101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 10103132291 and 10103132300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32278222 + ... + 32278534.

It is an arithmetic number, because the mean of its divisors is an integer number (146499840).

Almost surely, 210103132314 is an apocalyptic number.

10103132314 is a deficient number, since it is larger than the sum of its proper divisors (8648847206).

10103132314 is a wasteful number, since it uses less digits than its factorization.

10103132314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10103132314 its reverse (41323130101), we get a palindrome (51426262415).

The spelling of 10103132314 in words is "ten billion, one hundred three million, one hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 11 19 22 31 38 47 53 62 94 106 209 313 341 418 517 583 589 626 682 893 1007 1034 1166 1178 1457 1643 1786 2014 2491 2914 3286 3443 4982 5947 6479 6886 9703 9823 11077 11894 12958 14711 16027 16589 18073 19406 19646 22154 27401 27683 29422 31217 32054 33178 36146 47329 54802 55366 62434 65417 77221 94658 106733 130834 154442 161821 182479 184357 213466 279509 304513 315191 323642 343387 364958 368714 456041 514259 520619 559018 609026 630382 686774 779683 849431 912082 1028518 1041238 1467199 1559366 1698862 2027927 2934398 3074599 3467101 4055854 5016451 5656849 6149198 6934202 8576513 8664779 9770921 10032902 11313698 14813977 16139189 17153026 17329558 19541842 24170173 29627954 32278378 48340346 95312569 107480131 162953747 190625138 214960262 265871903 325907494 459233287 531743806 918466574 5051566157 10103132314