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100120020120 = 233251731607579
BaseRepresentation
bin101110100111110011…
…1100100010010011000
3100120102112110222220100
41131033213210102120
53120021211120440
6113554451255400
710143032062251
oct1351747442230
9316375428810
10100120020120
1139508160a8a
12174a1baa560
139597642873
144bbad83b28
15290ea46230
hex174f9e4498

100120020120 has 96 divisors (see below), whose sum is σ = 327271136400. Its totient is φ = 26544327936.

The previous prime is 100120020113. The next prime is 100120020163. The reversal of 100120020120 is 21020021001.

100120020120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741510 + ... + 866069.

Almost surely, 2100120020120 is an apocalyptic number.

100120020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120020120 is an abundant number, since it is smaller than the sum of its proper divisors (227151116280).

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

100120020120 is a wasteful number, since it uses less digits than its factorization.

100120020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607769 (or 1607762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100120020120 its reverse (21020021001), we get a palindrome (121140041121).

The spelling of 100120020120 in words is "one hundred billion, one hundred twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 519 692 865 1038 1384 1557 1730 2076 2595 3114 3460 4152 5190 6228 6920 7785 10380 12456 15570 20760 31140 62280 1607579 3215158 4822737 6430316 8037895 9645474 12860632 14468211 16075790 19290948 24113685 28936422 32151580 38581896 48227370 57872844 64303160 72341055 96454740 115745688 144682110 192909480 278111167 289364220 556222334 578728440 834333501 1112444668 1390555835 1668667002 2224889336 2503000503 2781111670 3337334004 4171667505 5006001006 5562223340 6674668008 8343335010 10012002012 11124446680 12515002515 16686670020 20024004024 25030005030 33373340040 50060010060 100120020120