Search a number
-
+
10102224200004 = 2234211114770111
BaseRepresentation
bin1001001100000001101101…
…1111000010000101000100
31022202202121101002122220000
42103000123133002011010
52311003323343400004
633252521524241300
72061601350613026
oct223003337020504
938682541078800
1010102224200004
113245369218542
121171a66540230
135838356c0631
1426cd4372a016
15127bae579c39
hex9301b7c2144

10102224200004 has 60 divisors (see below), whose sum is σ = 26421721632768. Its totient is φ = 3365812666800.

The previous prime is 10102224199987. The next prime is 10102224200023. The reversal of 10102224200004 is 40000242220101.

10102224200004 is a `hidden beast` number, since 10 + 10 + 222 + 420 + 0 + 0 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10102224200004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6701092 + ... + 8069019.

Almost surely, 210102224200004 is an apocalyptic number.

It is an amenable number.

10102224200004 is an abundant number, since it is smaller than the sum of its proper divisors (16319497432764).

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

10102224200004 is a wasteful number, since it uses less digits than its factorization.

10102224200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772238 (or 14772227 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10102224200004 its reverse (40000242220101), we get a palindrome (50102466420105).

The spelling of 10102224200004 in words is "ten trillion, one hundred two billion, two hundred twenty-four million, two hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2111 4222 6333 8444 12666 18999 25332 37998 56997 75996 113994 170991 227988 341982 683964 14770111 29540222 44310333 59080444 88620666 132930999 177241332 265861998 398792997 531723996 797585994 1196378991 1595171988 2392757982 4785515964 31179704321 62359408642 93539112963 124718817284 187078225926 280617338889 374156451852 561234677778 841852016667 1122469355556 1683704033334 2525556050001 3367408066668 5051112100002 10102224200004