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102204030144 = 2636138922433
BaseRepresentation
bin101111100101111010…
…1011011110011000000
3100202210202220200012210
41133023311123303000
53133303212431034
6114541335022120
710245465631236
oct1371365336300
9322722820183
10102204030144
113a387568617
1217983b0a940
13983a3225a8
144d37a6a956
1529d29a08e9
hex17cbd5bcc0

102204030144 has 112 divisors (see below), whose sum is σ = 275566692960. Its totient is φ = 33421885440.

The previous prime is 102204030133. The next prime is 102204030199. The reversal of 102204030144 is 441030402201.

It is a self number, because there is not a number n which added to its sum of digits gives 102204030144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4544752 + ... + 4567184.

Almost surely, 2102204030144 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 102204030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137783346480).

102204030144 is an abundant number, since it is smaller than the sum of its proper divisors (173362662816).

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

102204030144 is a wasteful number, since it uses less digits than its factorization.

102204030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22898 (or 22888 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102204030144 its reverse (441030402201), we get a palindrome (543234432345).

The spelling of 102204030144 in words is "one hundred two billion, two hundred four million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 389 488 732 778 976 1167 1464 1556 1952 2334 2928 3112 3904 4668 5856 6224 9336 11712 12448 18672 22433 23729 24896 37344 44866 47458 67299 71187 74688 89732 94916 134598 142374 179464 189832 269196 284748 358928 379664 538392 569496 717856 759328 1076784 1138992 1368413 1435712 1518656 2153568 2277984 2736826 4105239 4307136 4555968 5473652 8210478 8726437 10947304 16420956 17452874 21894608 26179311 32841912 34905748 43789216 52358622 65683824 69811496 87578432 104717244 131367648 139622992 209434488 262735296 279245984 418868976 532312657 558491968 837737952 1064625314 1596937971 1675475904 2129250628 3193875942 4258501256 6387751884 8517002512 12775503768 17034005024 25551007536 34068010048 51102015072 102204030144