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101220132123 = 321117431398667
BaseRepresentation
bin101111001000100110…
…0001010010100011011
3100200021012112110212100
41132101030022110123
53124244323211443
6114255550414443
710212220633005
oct1362114122433
9320235473770
10101220132123
1139a22142460
121774a501423
139711532506
144c83111375
1529764003d3
hex179130a51b

101220132123 has 48 divisors (see below), whose sum is σ = 172808228736. Its totient is φ = 56394213120.

The previous prime is 101220132109. The next prime is 101220132131. The reversal of 101220132123 is 321231022101.

101220132123 is a `hidden beast` number, since 101 + 220 + 1 + 321 + 23 = 666.

It is not a de Polignac number, because 101220132123 - 212 = 101220128027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101220132096 and 101220132105.

It is not an unprimeable number, because it can be changed into a prime (101220132133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626965 + ... + 771702.

It is an arithmetic number, because the mean of its divisors is an integer number (3600171432).

Almost surely, 2101220132123 is an apocalyptic number.

101220132123 is a deficient number, since it is larger than the sum of its proper divisors (71588096613).

101220132123 is a wasteful number, since it uses less digits than its factorization.

101220132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398744 (or 1398741 counting only the distinct ones).

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

Adding to 101220132123 its reverse (321231022101), we get a palindrome (422451154224).

The spelling of 101220132123 in words is "one hundred one billion, two hundred twenty million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 11 17 33 43 51 99 129 153 187 387 473 561 731 1419 1683 2193 4257 6579 8041 24123 72369 1398667 4196001 12588003 15385337 23777339 46156011 60142681 71332017 138468033 180428043 213996051 261550729 541284129 661569491 784652187 1022425577 1984708473 2353956561 3067276731 5954125419 9201830193 11246681347 33740044041 101220132123