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100311102320 = 24511138768453
BaseRepresentation
bin101110101101100000…
…0011111001101110000
3100120220212000222101212
41131123000133031300
53120414120233240
6114025435015252
710150542205232
oct1353300371560
9316825028355
10100311102320
11395a6002960
1217535b9a528
1395c80c6a60
144bd84c4252
1529216dd165
hex175b01f370

100311102320 has 80 divisors (see below), whose sum is σ = 273996650592. Its totient is φ = 33670855680.

The previous prime is 100311102313. The next prime is 100311102347. The reversal of 100311102320 is 23201113001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 100311102295 and 100311102304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4372787 + ... + 4395666.

Almost surely, 2100311102320 is an apocalyptic number.

100311102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311102320 is an abundant number, since it is smaller than the sum of its proper divisors (173685548272).

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

100311102320 is a wasteful number, since it uses less digits than its factorization.

100311102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768490 (or 8768484 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100311102320 its reverse (23201113001), we get a palindrome (123512215321).

The spelling of 100311102320 in words is "one hundred billion, three hundred eleven million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 8768453 17536906 35073812 43842265 70147624 87684530 96452983 113989889 140295248 175369060 192905966 227979778 350738120 385811932 455959556 482264915 569949445 701476240 771623864 911919112 964529830 1139898890 1253888779 1543247728 1823838224 1929059660 2279797780 2507777558 3858119320 4559595560 5015555116 6269443895 7716238640 9119191120 10031110232 12538887790 20062220464 25077775580 50155551160 100311102320