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102233014312 = 231113835571933
BaseRepresentation
bin101111100110110010…
…0000000000000101000
3100202212210110020000111
41133031210000000220
53133333122424222
6114544252144104
710246300166212
oct1371544000050
9322783406014
10102233014312
113a3a1964880
1217991768034
1398433300a0
144d3b8535b2
1529d52c8777
hex17cd900028

102233014312 has 128 divisors (see below), whose sum is σ = 228439128960. Its totient is φ = 42280197120.

The previous prime is 102233014309. The next prime is 102233014321. The reversal of 102233014312 is 213410332201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52887298 + ... + 52889230.

It is an arithmetic number, because the mean of its divisors is an integer number (1784680695).

Almost surely, 2102233014312 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 102233014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114219564480).

102233014312 is an abundant number, since it is smaller than the sum of its proper divisors (126206114648).

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

102233014312 is a wasteful number, since it uses less digits than its factorization.

102233014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102233014312 its reverse (213410332201), we get a palindrome (315643346513).

The spelling of 102233014312 in words is "one hundred two billion, two hundred thirty-three million, fourteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 83 88 104 143 166 286 332 557 572 664 913 1079 1114 1144 1826 1933 2158 2228 3652 3866 4316 4456 6127 7241 7304 7732 8632 11869 12254 14482 15464 21263 23738 24508 25129 28964 42526 46231 47476 49016 50258 57928 79651 85052 92462 94952 100516 159302 160439 170104 184924 201032 276419 318604 320878 369848 508541 552838 601003 637208 641756 1017082 1076681 1105676 1202006 1283512 1764829 2034164 2085707 2153362 2211352 2404012 3529658 4068328 4171414 4306724 4808024 6611033 7059316 8342828 8613448 11843491 13222066 13996853 14118632 16685656 22942777 23686982 26444132 27993706 45885554 47373964 52888264 55987412 89364523 91771108 94747928 111974824 153965383 178729046 183542216 307930766 357458092 615861532 714916184 983009753 1161738799 1231723064 1966019506 2323477598 3932039012 4646955196 7864078024 9293910392 12779126789 25558253578 51116507156 102233014312