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10120211022110 = 257713484358441
BaseRepresentation
bin1001001101000100101110…
…0101010100000100011110
31022211111000220110220020112
42103101023211110010132
52311302143010201420
633305054420250022
72063106156231440
oct223211345240436
938744026426215
1010120211022110
113251a5931a182
121175446240912
13585440c88a37
1426db6c4c6490
151283b36cd8c5
hex9344b95411e

10120211022110 has 64 divisors (see below), whose sum is σ = 21112908401664. Its totient is φ = 3420759686400.

The previous prime is 10120211022109. The next prime is 10120211022113. The reversal of 10120211022110 is 1122011202101.

It is a super-2 number, since 2×101202110221102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120211022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173140490 + ... + 173198930.

It is an arithmetic number, because the mean of its divisors is an integer number (329889193776).

Almost surely, 210120211022110 is an apocalyptic number.

10120211022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120211022110 is an abundant number, since it is smaller than the sum of its proper divisors (10992697379554).

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

10120211022110 is a wasteful number, since it uses less digits than its factorization.

10120211022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93369.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120211022110 its reverse (1122011202101), we get a palindrome (11242222224211).

The spelling of 10120211022110 in words is "ten trillion, one hundred twenty billion, two hundred eleven million, twenty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 71 142 355 497 710 994 2485 4970 34843 58441 69686 116882 174215 243901 292205 348430 409087 487802 584410 818174 1219505 2045435 2439010 2473853 4090870 4149311 4947706 8298622 12369265 17316971 20746555 24738530 29045177 34633942 41493110 58090354 86584855 145225885 173169710 290451770 2036259763 4072519526 10181298815 14253818341 20362597630 28507636682 71269091705 142538183410 144574443173 289148886346 722872215865 1012021102211 1445744431730 2024042204422 5060105511055 10120211022110