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102133211320 = 23571731692147
BaseRepresentation
bin101111100011110011…
…1010010000010111000
3100202121211122201001101
41133013213102002320
53133132100230240
6114530325101144
710243645654330
oct1370747220270
9322554581041
10102133211320
113a350598368
12179642577b4
13982875816a
144d2c4b40c0
1529cb66239a
hex17c79d20b8

102133211320 has 128 divisors (see below), whose sum is σ = 287047618560. Its totient is φ = 31894087680.

The previous prime is 102133211311. The next prime is 102133211321. The reversal of 102133211320 is 23112331201.

It is a super-2 number, since 2×1021332113202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133211321) 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, 198514 + ... + 493633.

It is an arithmetic number, because the mean of its divisors is an integer number (2242559520).

Almost surely, 2102133211320 is an apocalyptic number.

102133211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133211320 is an abundant number, since it is smaller than the sum of its proper divisors (184914407240).

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

102133211320 is a wasteful number, since it uses less digits than its factorization.

102133211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692213 (or 692209 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102133211320 its reverse (23112331201), we get a palindrome (125245542521).

The spelling of 102133211320 in words is "one hundred two billion, one hundred thirty-three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 31 34 35 40 56 62 68 70 85 119 124 136 140 155 170 217 238 248 280 310 340 434 476 527 595 620 680 868 952 1054 1085 1190 1240 1736 2108 2170 2380 2635 3689 4216 4340 4760 5270 7378 8680 10540 14756 18445 21080 29512 36890 73780 147560 692147 1384294 2768588 3460735 4845029 5537176 6921470 9690058 11766499 13842940 19380116 21456557 23532998 24225145 27685880 38760232 42913114 47065996 48450290 58832495 82365493 85826228 94131992 96900580 107282785 117664990 150195899 164730986 171652456 193801160 214565570 235329980 300391798 329461972 364761469 411827465 429131140 470659960 600783596 658923944 729522938 750979495 823654930 858262280 1201567192 1459045876 1501958990 1647309860 1823807345 2553330283 2918091752 3003917980 3294619720 3647614690 5106660566 6007835960 7295229380 10213321132 12766651415 14590458760 20426642264 25533302830 51066605660 102133211320