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100031100204 = 22373175151151
BaseRepresentation
bin101110100101001010…
…0010111010100101100
3100120012100011101201010
41131022110113110230
53114330430201304
6113541553345220
710140602215440
oct1351224272454
9316170141633
10100031100204
1139471a48152
1217478268210
1395820ab429
144bad238820
152906d2e789
hex174a51752c

100031100204 has 96 divisors (see below), whose sum is σ = 275726467072. Its totient is φ = 27621000000.

The previous prime is 100031100181. The next prime is 100031100209. The reversal of 100031100204 is 402001130001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 100031100204.

It is not an unprimeable number, because it can be changed into a prime (100031100209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1930029 + ... + 1981179.

Almost surely, 2100031100204 is an apocalyptic number.

100031100204 is a gapful number since it is divisible by the number (14) 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 100031100204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137863233536).

100031100204 is an abundant number, since it is smaller than the sum of its proper divisors (175695366868).

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

100031100204 is a wasteful number, since it uses less digits than its factorization.

100031100204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51947 (or 51945 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100031100204 its reverse (402001130001), we get a palindrome (502032230205).

The spelling of 100031100204 in words is "one hundred billion, thirty-one million, one hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 751 868 1302 1502 2253 2604 3004 4506 5257 9012 10514 15771 21028 23281 31542 46562 51151 63084 69843 93124 102302 139686 153453 162967 204604 279372 306906 325934 358057 488901 613812 651868 716114 977802 1074171 1432228 1585681 1955604 2148342 3171362 4296684 4757043 6342724 9514086 11099767 19028172 22199534 33299301 38414401 44399068 66598602 76828802 115243203 133197204 153657604 230486406 268900807 460972812 537801614 806702421 1075603228 1190846431 1613404842 2381692862 3226809684 3572539293 4763385724 7145078586 8335925017 14290157172 16671850034 25007775051 33343700068 50015550102 100031100204