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102000103211223 = 32789156722215227
BaseRepresentation
bin10111001100010010111111…
…111010110100000011010111
3111101011010002120101001102200
4113030102333322310003113
5101332132202410224343
61000534111151535543
730325156434005550
oct2714227772640327
9441133076331380
10102000103211223
112a556001142098
12b53437822a5b3
1344bb750ba6639
141b28b8d28b327
15bbd3cb8884d3
hex5cc4bfeb40d7

102000103211223 has 96 divisors (see below), whose sum is σ = 170491032391680. Its totient is φ = 57557153871360.

The previous prime is 102000103211191. The next prime is 102000103211291. The reversal of 102000103211223 is 322112301000201.

102000103211223 is a `hidden beast` number, since 10 + 200 + 0 + 10 + 321 + 122 + 3 = 666.

It is not a de Polignac number, because 102000103211223 - 25 = 102000103211191 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102000103211196 and 102000103211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000103212223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19514078736 + ... + 19514083962.

It is an arithmetic number, because the mean of its divisors is an integer number (1775948254080).

Almost surely, 2102000103211223 is an apocalyptic number.

102000103211223 is a deficient number, since it is larger than the sum of its proper divisors (68490929180457).

102000103211223 is a wasteful number, since it uses less digits than its factorization.

102000103211223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9117 (or 9114 counting only the distinct ones).

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

Adding to 102000103211223 its reverse (322112301000201), we get a palindrome (424112404211424).

The spelling of 102000103211223 in words is "one hundred two trillion, one hundred three million, two hundred eleven thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 63 89 267 623 801 1567 1869 2221 4701 5227 5607 6663 10969 14103 15547 15681 19989 32907 36589 46641 47043 98721 109767 139463 139923 197669 329301 418389 465203 593007 976241 1255167 1383683 1395609 1779021 2928723 3256421 3480307 4151049 4186827 8190709 8786169 9769263 10440921 11609167 12453147 24362149 24572127 29307789 31322763 34827501 57334963 73086447 73716381 81264169 104482503 172004889 219259341 243792507 309747323 516014667 728973101 731377521 929241969 1033215863 2168231261 2186919303 2787725907 3099647589 5102811707 6504693783 6560757909 7232511041 9298942767 15308435121 18191564689 19514081349 21697533123 45925305363 54574694067 65092599369 127340952823 163724082201 382022858469 1146068575407 1619049257321 4857147771963 11333344801247 14571443315889 34000034403741 102000103211223