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10110423040 = 2125618093
BaseRepresentation
bin10010110101010000…
…01101000000000000
3222002121112201001121
421122220031000000
5131201232014130
64351125242024
7505355115004
oct113250150000
928077481047
1010110423040
114319085523
121b61b63314
13c51840253
146bcaa8704
153e2920d7a
hex25aa0d000

10110423040 has 104 divisors (see below), whose sum is σ = 24662838888. Its totient is φ = 3977379840.

The previous prime is 10110423019. The next prime is 10110423109. The reversal of 10110423040 is 4032401101.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 10109095936 = 1152^2 + 100544^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1245234 + ... + 1253326.

Almost surely, 210110423040 is an apocalyptic number.

10110423040 is a gapful number since it is divisible by the number (10) 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 10110423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331419444).

10110423040 is an abundant number, since it is smaller than the sum of its proper divisors (14552415848).

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

10110423040 is an frugal number, since it uses more digits than its factorization.

10110423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8183 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10110423040 its reverse (4032401101), we get a palindrome (14142824141).

The spelling of 10110423040 in words is "ten billion, one hundred ten million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 1024 1220 1280 1952 2048 2440 2560 3904 4096 4880 5120 7808 8093 9760 10240 15616 16186 19520 20480 31232 32372 39040 40465 62464 64744 78080 80930 124928 129488 156160 161860 249856 258976 312320 323720 493673 517952 624640 647440 987346 1035904 1249280 1294880 1974692 2071808 2468365 2589760 3949384 4143616 4936730 5179520 7898768 8287232 9873460 10359040 15797536 16574464 19746920 20718080 31595072 33148928 39493840 41436160 63190144 78987680 82872320 126380288 157975360 165744640 252760576 315950720 505521152 631901440 1011042304 1263802880 2022084608 2527605760 5055211520 10110423040