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102211122020 = 22572273216209
BaseRepresentation
bin101111100110001000…
…0011111001101100100
3100202211021020222102212
41133030100133031210
53133312021401040
6114542151022552
710245613126250
oct1371420371544
9322737228385
10102211122020
113a390571877
121798636aa58
13983b936577
144d38995260
1529d3401d65
hex17cc41f364

102211122020 has 48 divisors (see below), whose sum is σ = 246387415680. Its totient is φ = 34889424384.

The previous prime is 102211122001. The next prime is 102211122023. The reversal of 102211122020 is 20221112201.

It is a super-2 number, since 2×1022111220202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102211121986 and 102211122004.

It is not an unprimeable number, because it can be changed into a prime (102211122023) 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 15 ways as a sum of consecutive naturals, for example, 1576325 + ... + 1639884.

It is an arithmetic number, because the mean of its divisors is an integer number (5133071160).

Almost surely, 2102211122020 is an apocalyptic number.

102211122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211122020 is an abundant number, since it is smaller than the sum of its proper divisors (144176293660).

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

102211122020 is a wasteful number, since it uses less digits than its factorization.

102211122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216452 (or 3216450 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102211122020 its reverse (20221112201), we get a palindrome (122432234221).

The spelling of 102211122020 in words is "one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 454 908 1135 1589 2270 3178 4540 6356 7945 15890 31780 3216209 6432418 12864836 16081045 22513463 32162090 45026926 64324180 90053852 112567315 225134630 450269260 730079443 1460158886 2920317772 3650397215 5110556101 7300794430 10221112202 14601588860 20442224404 25552780505 51105561010 102211122020