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100311000120 = 23325401694867
BaseRepresentation
bin101110101101100000…
…0000110010000111000
3100120220211211210012200
41131123000012100320
53120414104000440
6114025432510200
710150541301252
oct1353300062070
9316824753180
10100311000120
11395a5a430a1
1217535b4b360
1395c808c396
144bd8498cd2
1529216bcc30
hex175b006438

100311000120 has 96 divisors (see below), whose sum is σ = 326824215120. Its totient is φ = 26682854400.

The previous prime is 100311000091. The next prime is 100311000149. The reversal of 100311000120 is 21000113001.

100311000120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100311000091) and next prime (100311000149).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203074 + ... + 491793.

Almost surely, 2100311000120 is an apocalyptic number.

100311000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100311000120 is an abundant number, since it is smaller than the sum of its proper divisors (226513215000).

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

100311000120 is a wasteful number, since it uses less digits than its factorization.

100311000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695285 (or 695278 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100311000120 its reverse (21000113001), we get a palindrome (121311113121).

The spelling of 100311000120 in words is "one hundred billion, three hundred eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 401 802 1203 1604 2005 2406 3208 3609 4010 4812 6015 7218 8020 9624 12030 14436 16040 18045 24060 28872 36090 48120 72180 144360 694867 1389734 2084601 2779468 3474335 4169202 5558936 6253803 6948670 8338404 10423005 12507606 13897340 16676808 20846010 25015212 27794680 31269015 41692020 50030424 62538030 83384040 125076060 250152120 278641667 557283334 835925001 1114566668 1393208335 1671850002 2229133336 2507775003 2786416670 3343700004 4179625005 5015550006 5572833340 6687400008 8359250010 10031100012 11145666680 12538875015 16718500020 20062200024 25077750030 33437000040 50155500060 100311000120