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102211323020 = 225292235231511
BaseRepresentation
bin101111100110001000…
…1010000010010001100
3100202211021122012011022
41133030101100102030
53133312044314040
6114542155213312
710245614624252
oct1371421202214
9322737565138
10102211323020
113a390699894
1217986447238
13983b9a6bc1
144d38a085d2
1529d34416b5
hex17cc45048c

102211323020 has 96 divisors (see below), whose sum is σ = 223615365120. Its totient is φ = 39196604160.

The previous prime is 102211323013. The next prime is 102211323083. The reversal of 102211323020 is 20323112201.

It is a self number, because there is not a number n which added to its sum of digits gives 102211323020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67644065 + ... + 67645575.

It is an arithmetic number, because the mean of its divisors is an integer number (2329326720).

Almost surely, 2102211323020 is an apocalyptic number.

102211323020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111807682560).

102211323020 is an abundant number, since it is smaller than the sum of its proper divisors (121404042100).

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

102211323020 is a wasteful number, since it uses less digits than its factorization.

102211323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102211323020 its reverse (20323112201), we get a palindrome (122534435221).

The spelling of 102211323020 in words is "one hundred two billion, two hundred eleven million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 223 290 446 523 580 892 1046 1115 1511 2092 2230 2615 3022 4460 5230 6044 6467 7555 10460 12934 15110 15167 25868 30220 30334 32335 43819 60668 64670 75835 87638 116629 129340 151670 175276 219095 233258 303340 336953 438190 466516 583145 673906 790253 876380 1166290 1347812 1580506 1684765 2332580 3161012 3369530 3382241 3951265 6739060 6764482 7902530 9771637 13528964 15805060 16911205 19543274 22917337 33822410 39086548 45834674 48858185 67644820 91669348 97716370 114586685 176226419 195432740 229173370 352452838 458346740 704905676 881132095 1762264190 3524528380 5110566151 10221132302 20442264604 25552830755 51105661510 102211323020