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102003212301012 = 2232111331691934263
BaseRepresentation
bin10111001100010101111001…
…001111000011001011010100
3111101011102010020200011211100
4113030111321033003023110
5101332210034322113022
61000535343454310100
730325326455562351
oct2714257117031324
9441142106604740
10102003212301012
112a557357142290
12b534aa54b8330
1344bbb28064b39
141b28da616d628
15bbd50e7ca1ac
hex5cc5793c32d4

102003212301012 has 72 divisors (see below), whose sum is σ = 281283843072960. Its totient is φ = 30909816241920.

The previous prime is 102003212300963. The next prime is 102003212301013. The reversal of 102003212301012 is 210103212300201.

102003212301012 is a `hidden beast` number, since 10 + 2 + 0 + 0 + 321 + 230 + 101 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003212301013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51767793 + ... + 53702055.

It is an arithmetic number, because the mean of its divisors is an integer number (3906720042680).

Almost surely, 2102003212301012 is an apocalyptic number.

102003212301012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102003212301012 is an abundant number, since it is smaller than the sum of its proper divisors (179280630771948).

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

102003212301012 is a wasteful number, since it uses less digits than its factorization.

102003212301012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067453 (or 2067448 counting only the distinct ones).

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

Adding to 102003212301012 its reverse (210103212300201), we get a palindrome (312106424601213).

The spelling of 102003212301012 in words is "one hundred two trillion, three billion, two hundred twelve million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 133169 266338 399507 532676 799014 1198521 1464859 1598028 1934263 2397042 2929718 3868526 4394577 4794084 5802789 5859436 7737052 8789154 11605578 13183731 17408367 17578308 21276893 23211156 26367462 34816734 42553786 52734924 63830679 69633468 85107572 127661358 191492037 255322716 382984074 765968148 257583869447 515167738894 772751608341 1030335477788 1545503216682 2318254825023 2833422563917 3091006433364 4636509650046 5666845127834 8500267691751 9273019300092 11333690255668 17000535383502 25500803075253 34001070767004 51001606150506 102003212301012