Search a number
-
+
10315252701 = 3213292791327
BaseRepresentation
bin10011001101101011…
…00100001111011101
3222121212222010112100
421212311210033131
5132111201041301
64423323355313
7513423126015
oct114665441735
928555863470
1010315252701
114413767036
121bba682b39
13c850c8930
146dbd86c45
154058d1286
hex266d643dd

10315252701 has 72 divisors (see below), whose sum is σ = 16841377280. Its totient is φ = 6046814592.

The previous prime is 10315252693. The next prime is 10315252711. The reversal of 10315252701 is 10725251301.

It is not a de Polignac number, because 10315252701 - 23 = 10315252693 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315252711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7772700 + ... + 7774026.

Almost surely, 210315252701 is an apocalyptic number.

It is an amenable number.

10315252701 is a deficient number, since it is larger than the sum of its proper divisors (6526124579).

10315252701 is a wasteful number, since it uses less digits than its factorization.

10315252701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 10315252701 in words is "ten billion, three hundred fifteen million, two hundred fifty-two thousand, seven hundred one".

Divisors: 1 3 9 13 29 39 79 87 117 237 261 377 711 841 1027 1131 1327 2291 2523 3081 3393 3981 6873 7569 9243 10933 11943 17251 20619 29783 32799 38483 51753 66439 89349 98397 104833 115449 155259 199317 268047 314499 346347 500279 597951 863707 943497 1116007 1362829 1500837 2591121 3040157 3348021 4088487 4502511 7773363 9120471 10044063 12265461 14508091 27361413 39522041 43524273 88164553 118566123 130572819 264493659 355698369 793480977 1146139189 3438417567 10315252701