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100211002122 = 23711285176081
BaseRepresentation
bin101110101010100001…
…0101000101100001010
3100120122212200100202010
41131111002220230022
53120213004031442
6114011501320350
710145215315020
oct1352502505412
9316585610663
10100211002122
1139554553120
12175085660b6
1395b044977a
144bc90a8710
152917a18b9c
hex17550a8b0a

100211002122 has 64 divisors (see below), whose sum is σ = 249967715328. Its totient is φ = 26019360000.

The previous prime is 100211002121. The next prime is 100211002147. The reversal of 100211002122 is 221200112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211002098 and 100211002107.

It is not an unprimeable number, because it can be changed into a prime (100211002121) 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, 1279122 + ... + 1355202.

It is an arithmetic number, because the mean of its divisors is an integer number (3905745552).

Almost surely, 2100211002122 is an apocalyptic number.

100211002122 is an abundant number, since it is smaller than the sum of its proper divisors (149756713206).

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

100211002122 is a wasteful number, since it uses less digits than its factorization.

100211002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78955.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100211002122 its reverse (221200112001), we get a palindrome (321411114123).

The spelling of 100211002122 in words is "one hundred billion, two hundred eleven million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 2851 5702 8553 17106 19957 31361 39914 59871 62722 76081 94083 119742 152162 188166 219527 228243 439054 456486 532567 658581 836891 1065134 1317162 1597701 1673782 2510673 3195402 5021346 5858237 11716474 17574711 35149422 216906931 433813862 650720793 1301441586 1518348517 2385976241 3036697034 4555045551 4771952482 7157928723 9110091102 14315857446 16701833687 33403667374 50105501061 100211002122