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102211212204 = 22332383495757
BaseRepresentation
bin101111100110001000…
…0110101001110101100
3100202211021102120011000
41133030100311032230
53133312032242304
6114542153000300
710245613653213
oct1371420651654
9322737376130
10102211212204
113a390623602
12179863b3090
13983b96862a
144d389ba07a
1529d341d939
hex17cc4353ac

102211212204 has 96 divisors (see below), whose sum is σ = 279845475840. Its totient is φ = 32196377664.

The previous prime is 102211212203. The next prime is 102211212209. The reversal of 102211212204 is 402212112201.

It is a super-2 number, since 2×1022112122042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102211212203) 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 31 ways as a sum of consecutive naturals, for example, 41707 + ... + 454050.

It is an arithmetic number, because the mean of its divisors is an integer number (2915057040).

Almost surely, 2102211212204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211212204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139922737920).

102211212204 is an abundant number, since it is smaller than the sum of its proper divisors (177634263636).

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

102211212204 is a wasteful number, since it uses less digits than its factorization.

102211212204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495876 (or 495868 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102211212204 its reverse (402212112201), we get a palindrome (504423324405).

The spelling of 102211212204 in words is "one hundred two billion, two hundred eleven million, two hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 83 92 108 138 166 207 249 276 332 414 498 621 747 828 996 1242 1494 1909 2241 2484 2988 3818 4482 5727 7636 8964 11454 17181 22908 34362 51543 68724 103086 206172 495757 991514 1487271 1983028 2974542 4461813 5949084 8923626 11402411 13385439 17847252 22804822 26770878 34207233 41147831 45609644 53541756 68414466 82295662 102621699 123443493 136828932 164591324 205243398 246886986 307865097 370330479 410486796 493773972 615730194 740660958 946400113 1110991437 1231460388 1481321916 1892800226 2221982874 2839200339 3785600452 4443965748 5678400678 8517601017 11356801356 17035202034 25552803051 34070404068 51105606102 102211212204