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90122111121 = 3737293503787
BaseRepresentation
bin101001111101110110…
…0100100100010010001
322121121202122121002110
41103323230210202101
52434032230023441
6105222421335533
76340211206440
oct1237354444221
9277552577073
1090122111121
1135247644a79
12155718675a9
138663208093
14450d206d57
152526e4cb16
hex14fbb24891

90122111121 has 64 divisors (see below), whose sum is σ = 141983428608. Its totient is φ = 49772890368.

The previous prime is 90122111041. The next prime is 90122111161. The reversal of 90122111121 is 12111122109.

It is not a de Polignac number, because 90122111121 - 29 = 90122110609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (90122111161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114513090 + ... + 114513876.

It is an arithmetic number, because the mean of its divisors is an integer number (2218491072).

Almost surely, 290122111121 is an apocalyptic number.

It is an amenable number.

90122111121 is a deficient number, since it is larger than the sum of its proper divisors (51861317487).

90122111121 is a wasteful number, since it uses less digits than its factorization.

90122111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 90122111121 in words is "ninety billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 21 37 111 259 293 503 777 787 879 1509 2051 2361 3521 5509 6153 10563 10841 16527 18611 29119 32523 55833 75887 87357 130277 147379 203833 227661 230591 390831 395861 442137 611499 691773 1031653 1187583 1614137 2771027 3094959 4842411 5453023 8313081 8531867 14646857 16359069 25595601 38171161 43940571 59723069 102527999 114513483 115987273 179169207 307583997 347961819 811910911 2435732733 4291529101 12874587303 30040703707 90122111121