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101020111122 = 23731505115361
BaseRepresentation
bin101111000010101000…
…1001001000100010010
3100122202021011100122010
41132011101021010102
53123342122023442
6114224043323350
710204241530260
oct1360521110422
9318667140563
10101020111122
113992a245747
12176b3520556
1396abc6b7a8
144c64725430
152963a8eb9c
hex1785449112

101020111122 has 64 divisors (see below), whose sum is σ = 238414307328. Its totient is φ = 27924480000.

The previous prime is 101020111097. The next prime is 101020111123. The reversal of 101020111122 is 221111020101.

It is a super-2 number, since 2×1010201111222 (a number of 23 digits) contains 22 as substring.

101020111122 is a modest number, since divided by 111122 gives 101020 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101020111098 and 101020111107.

It is not an unprimeable number, because it can be changed into a prime (101020111123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6568722 + ... + 6584082.

It is an arithmetic number, because the mean of its divisors is an integer number (3725223552).

Almost surely, 2101020111122 is an apocalyptic number.

101020111122 is an abundant number, since it is smaller than the sum of its proper divisors (137394196206).

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

101020111122 is a wasteful number, since it uses less digits than its factorization.

101020111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20455.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101020111122 its reverse (221111020101), we get a palindrome (322131131223).

The spelling of 101020111122 in words is "one hundred one billion, twenty million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 5051 10102 15153 15361 30306 30722 35357 46083 70714 92166 106071 107527 156581 212142 215054 313162 322581 469743 476191 645162 939486 952382 1096067 1428573 2192134 2857146 3288201 3333337 6576402 6666674 10000011 20000022 77588411 155176822 232765233 465530466 543118877 1086237754 1629356631 2405240741 3258713262 4810481482 7215722223 14431444446 16836685187 33673370374 50510055561 101020111122