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102247490052 = 223822317471
BaseRepresentation
bin101111100111001101…
…1001110001000000100
3100202220210200200000000
41133032123032020010
53133400324140202
6114545530321300
710246534216431
oct1371633161004
9322823620000
10102247490052
113a3aa0516a4
1217996589230
13984632ac06
144d3d740b88
1529d66d791c
hex17ce6ce204

102247490052 has 108 divisors (see below), whose sum is σ = 269604980736. Its totient is φ = 33927718320.

The previous prime is 102247490027. The next prime is 102247490089. The reversal of 102247490052 is 250094742201.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102247489989 and 102247490016.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5843677 + ... + 5861147.

Almost surely, 2102247490052 is an apocalyptic number.

102247490052 is a gapful number since it is divisible by the number (12) 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 102247490052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134802490368).

102247490052 is an abundant number, since it is smaller than the sum of its proper divisors (167357490684).

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

102247490052 is an equidigital number, since it uses as much as digits as its factorization.

102247490052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17722 (or 17699 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 102247490052 in words is "one hundred two billion, two hundred forty-seven million, four hundred ninety thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 223 243 324 446 486 669 729 892 972 1338 1458 2007 2187 2676 2916 4014 4374 6021 6561 8028 8748 12042 13122 17471 18063 24084 26244 34942 36126 52413 54189 69884 72252 104826 108378 157239 162567 209652 216756 314478 325134 471717 487701 628956 650268 943434 975402 1415151 1463103 1886868 1950804 2830302 2926206 3896033 4245453 5660604 5852412 7792066 8490906 11688099 12736359 15584132 16981812 23376198 25472718 35064297 38209077 46752396 50945436 70128594 76418154 105192891 114627231 140257188 152836308 210385782 229254462 315578673 420771564 458508924 631157346 946736019 1262314692 1893472038 2840208057 3786944076 5680416114 8520624171 11360832228 17041248342 25561872513 34082496684 51123745026 102247490052