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100110013140 = 223519127691463
BaseRepresentation
bin101110100111100000…
…1011001001011010100
3100120101211122120220110
41131033001121023110
53120011130410030
6113553453003020
710142551033344
oct1351701311324
9316354576813
10100110013140
1139502546655
121749a783470
13959554aa87
144bb98dad24
15290dc1b1b0
hex174f0592d4

100110013140 has 96 divisors (see below), whose sum is σ = 297384837120. Its totient is φ = 25091773056.

The previous prime is 100110013109. The next prime is 100110013181. The reversal of 100110013140 is 41310011001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200952 + ... + 490511.

It is an arithmetic number, because the mean of its divisors is an integer number (3097758720).

Almost surely, 2100110013140 is an apocalyptic number.

100110013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110013140 is an abundant number, since it is smaller than the sum of its proper divisors (197274823980).

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

100110013140 is a wasteful number, since it uses less digits than its factorization.

100110013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691621 (or 691619 counting only the distinct ones).

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

Adding to 100110013140 its reverse (41310011001), we get a palindrome (141420024141).

The spelling of 100110013140 in words is "one hundred billion, one hundred ten million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 1140 1270 1524 1905 2413 2540 3810 4826 7239 7620 9652 12065 14478 24130 28956 36195 48260 72390 144780 691463 1382926 2074389 2765852 3457315 4148778 6914630 8297556 10371945 13137797 13829260 20743890 26275594 39413391 41487780 52551188 65688985 78826782 87815801 131377970 157653564 175631602 197066955 262755940 263447403 351263204 394133910 439079005 526894806 788267820 878158010 1053789612 1317237015 1668500219 1756316020 2634474030 3337000438 5005500657 5268948060 6674000876 8342501095 10011001314 16685002190 20022002628 25027503285 33370004380 50055006570 100110013140