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100410344112 = 24313224151361
BaseRepresentation
bin101110110000011101…
…1000100001010110000
3100121011202202222112210
41131200323010022300
53121120022002422
6114043342052120
710153155562011
oct1354073041260
9317152688483
10100410344112
1139647026771
121756327a040
139612833400
144c07759008
15292a29310c
hex1760ec42b0

100410344112 has 120 divisors (see below), whose sum is σ = 282052573968. Its totient is φ = 30766694400.

The previous prime is 100410344063. The next prime is 100410344119. The reversal of 100410344112 is 211443014001.

It is not an unprimeable number, because it can be changed into a prime (100410344119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1929312 + ... + 1980672.

Almost surely, 2100410344112 is an apocalyptic number.

100410344112 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 100410344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141026286984).

100410344112 is an abundant number, since it is smaller than the sum of its proper divisors (181642229856).

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

100410344112 is a wasteful number, since it uses less digits than its factorization.

100410344112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51639 (or 51620 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100410344112 its reverse (211443014001), we get a palindrome (311853358113).

The spelling of 100410344112 in words is "one hundred billion, four hundred ten million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 241 312 338 482 507 624 676 723 964 1014 1352 1446 1928 2028 2704 2892 3133 3856 4056 5784 6266 8112 9399 11568 12532 18798 25064 37596 40729 50128 51361 75192 81458 102722 122187 150384 154083 162916 205444 244374 308166 325832 410888 488748 616332 651664 667693 821776 977496 1232664 1335386 1954992 2003079 2465328 2670772 4006158 5341544 8012316 8680009 10683088 12378001 16024632 17360018 24756002 26040027 32049264 34720036 37134003 49512004 52080054 69440072 74268006 99024008 104160108 138880144 148536012 160914013 198048016 208320216 297072024 321828026 416640432 482742039 594144048 643656052 965484078 1287312104 1930968156 2091882169 2574624208 3861936312 4183764338 6275646507 7723872624 8367528676 12551293014 16735057352 25102586028 33470114704 50205172056 100410344112