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100311042240 = 2632534830223
BaseRepresentation
bin101110101101100000…
…0010000100011000000
3100120220211220220222200
41131123000100203000
53120414111322430
6114025433433200
710150541535123
oct1353300204300
9316824826880
10100311042240
11395a5a71802
1217535b6b800
1395c80a55c6
144bd84aa3ba
1529216ca460
hex175b0108c0

100311042240 has 84 divisors (see below), whose sum is σ = 345028198944. Its totient is φ = 26749610496.

The previous prime is 100311042229. The next prime is 100311042259. The reversal of 100311042240 is 42240113001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17412232 + ... + 17417991.

Almost surely, 2100311042240 is an apocalyptic number.

100311042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311042240 is an abundant number, since it is smaller than the sum of its proper divisors (244717156704).

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

100311042240 is a wasteful number, since it uses less digits than its factorization.

100311042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34830246 (or 34830233 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100311042240 its reverse (42240113001), we get a palindrome (142551155241).

The spelling of 100311042240 in words is "one hundred billion, three hundred eleven million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 34830223 69660446 104490669 139320892 174151115 208981338 278641784 313472007 348302230 417962676 522453345 557283568 626944014 696604460 835925352 1044906690 1114567136 1253888028 1393208920 1567360035 1671850704 2089813380 2229134272 2507776056 2786417840 3134720070 3343701408 4179626760 5015552112 5572835680 6269440140 6687402816 8359253520 10031104224 11145671360 12538880280 16718507040 20062208448 25077760560 33437014080 50155521120 100311042240