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100020103232 = 2671393894129
BaseRepresentation
bin101110100100110101…
…0011010100001000000
3100120011120110200200212
41131021222122201000
53114320121300412
6113540521533252
710140406564340
oct1351152324100
9316146420625
10100020103232
1139466816a45
1217474644228
13957ca2ab4a
144bab9b4d20
152905dab222
hex1749a9a840

100020103232 has 112 divisors (see below), whose sum is σ = 229105968000. Its totient is φ = 42437689344.

The previous prime is 100020103223. The next prime is 100020103277. The reversal of 100020103232 is 232301020001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 24221744 + ... + 24225872.

It is an arithmetic number, because the mean of its divisors is an integer number (2045589000).

Almost surely, 2100020103232 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 100020103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114552984000).

100020103232 is an abundant number, since it is smaller than the sum of its proper divisors (129085864768).

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

100020103232 is a wasteful number, since it uses less digits than its factorization.

100020103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100020103232 its reverse (232301020001), we get a palindrome (332321123233).

The spelling of 100020103232 in words is "one hundred billion, twenty million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 139 224 278 389 448 556 778 973 1112 1556 1946 2224 2723 3112 3892 4129 4448 5446 6224 7784 8258 8896 10892 12448 15568 16516 21784 24896 28903 31136 33032 43568 54071 57806 62272 66064 87136 108142 115612 132128 174272 216284 231224 264256 378497 432568 462448 573931 756994 865136 924896 1147862 1513988 1606181 1730272 1849792 2295724 3027976 3212362 3460544 4017517 4591448 6055952 6424724 8035034 9182896 11243267 12111904 12849448 16070068 18365792 22486534 24223808 25698896 32140136 36731584 44973068 51397792 64280272 89946136 102795584 128560544 179892272 223259159 257121088 359784544 446518318 719569088 893036636 1562814113 1786073272 3125628226 3572146544 6251256452 7144293088 12502512904 14288586176 25005025808 50010051616 100020103232