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10102110212 = 2229415693733
BaseRepresentation
bin10010110100010000…
…11111100000000100
3222002000220101000002
421122020133200010
5131142120011322
64350231140432
7505224343235
oct113210374004
928060811002
1010102110212
114314417a17
121b5b214718
13c4cbbc60c
146bb94308c
153e1d2cc92
hex25a21f804

10102110212 has 48 divisors (see below), whose sum is σ = 18772311600. Its totient is φ = 4748298240.

The previous prime is 10102110203. The next prime is 10102110217. The reversal of 10102110212 is 21201120101.

It can be written as a sum of positive squares in 8 ways, for example, as 1749246976 + 8352863236 = 41824^2 + 91394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102110193 and 10102110202.

It is not an unprimeable number, because it can be changed into a prime (10102110217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704298 + ... + 2708030.

It is an arithmetic number, because the mean of its divisors is an integer number (391089825).

Almost surely, 210102110212 is an apocalyptic number.

It is an amenable number.

10102110212 is a deficient number, since it is larger than the sum of its proper divisors (8670201388).

10102110212 is a wasteful number, since it uses less digits than its factorization.

10102110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10102110212 its reverse (21201120101), we get a palindrome (31303230313).

The spelling of 10102110212 in words is "ten billion, one hundred two million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 29 41 58 82 116 164 569 1138 1189 2276 2378 3733 4756 7466 14932 16501 23329 33002 46658 66004 93316 108257 153053 216514 306106 433028 612212 676541 1353082 2124077 2706164 4248154 4438537 8496308 8877074 17754148 61598233 87087157 123196466 174174314 246392932 348348628 2525527553 5051055106 10102110212