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10013414310 = 2325449324763
BaseRepresentation
bin10010101001101100…
…01001001110100110
3221211212000011002200
421110312021032212
5131001413224220
64333342115330
7503066421504
oct112466111646
927755004080
1010013414310
114279347419
121b3557bb46
13c37706133
146adc55674
153d915c890
hex254d893a6

10013414310 has 48 divisors (see below), whose sum is σ = 26041723344. Its totient is φ = 2669541696.

The previous prime is 10013414293. The next prime is 10013414351. The reversal of 10013414310 is 1341431001.

10013414310 is a `hidden beast` number, since 10 + 0 + 1 + 341 + 4 + 310 = 666.

It is a super-2 number, since 2×100134143102 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391989 + ... + 416751.

It is an arithmetic number, because the mean of its divisors is an integer number (542535903).

Almost surely, 210013414310 is an apocalyptic number.

10013414310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10013414310 is an abundant number, since it is smaller than the sum of its proper divisors (16028309034).

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

10013414310 is a wasteful number, since it uses less digits than its factorization.

10013414310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29269 (or 29266 counting only the distinct ones).

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

Adding to 10013414310 its reverse (1341431001), we get a palindrome (11354845311).

The spelling of 10013414310 in words is "ten billion, thirteen million, four hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4493 8986 13479 22465 24763 26958 40437 44930 49526 67395 74289 80874 123815 134790 148578 202185 222867 247630 371445 404370 445734 742890 1114335 2228670 111260159 222520318 333780477 556300795 667560954 1001341431 1112601590 1668902385 2002682862 3337804770 5006707155 10013414310