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102012103300023 = 3375107535119751
BaseRepresentation
bin10111001100011110001011…
…001011100001001110110111
3111101012021001212122201121000
4113030132023023201032313
5101332331241421100043
61000543414023254343
730326063006042310
oct2714361313411667
9441167055581530
10102012103300023
112a5600a9954454
12b536766baa3b3
1344bc91406c6b7
141b295aaccd607
15bbd8801252d3
hex5cc78b2e13b7

102012103300023 has 64 divisors (see below), whose sum is σ = 172793757450240. Its totient is φ = 58267374300000.

The previous prime is 102012103299971. The next prime is 102012103300099. The reversal of 102012103300023 is 320003301210201.

102012103300023 is a `hidden beast` number, since 102 + 0 + 1 + 210 + 330 + 0 + 0 + 23 = 666.

It is not a de Polignac number, because 102012103300023 - 217 = 102012103168951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102012103299969 and 102012103300005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012103300423) 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, 5164898398 + ... + 5164918148.

It is an arithmetic number, because the mean of its divisors is an integer number (2699902460160).

Almost surely, 2102012103300023 is an apocalyptic number.

102012103300023 is a deficient number, since it is larger than the sum of its proper divisors (70781654150217).

102012103300023 is a wasteful number, since it uses less digits than its factorization.

102012103300023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30225 (or 30219 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102012103300023 its reverse (320003301210201), we get a palindrome (422015404510224).

The spelling of 102012103300023 in words is "one hundred two trillion, twelve billion, one hundred three million, three hundred thousand, twenty-three".

Divisors: 1 3 7 9 21 27 63 189 5107 5351 15321 16053 19751 35749 37457 45963 48159 59253 107247 112371 137889 138257 144477 177759 321741 337113 414771 533277 965223 1011339 1244313 3732939 27327557 81982671 100868357 105687601 191292899 245948013 302605071 317062803 573878697 706078499 737844039 739813207 907815213 951188409 1721636091 2118235497 2219439621 2723445639 2853565227 5164908273 6354706491 6658318863 19064119473 19974956589 539746578307 1619239734921 3778226048149 4857719204763 11334678144447 14573157614289 34004034433341 102012103300023