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100112031120 = 24351632559101
BaseRepresentation
bin101110100111100100…
…1000101110110010000
3100120101222110010001110
41131033021011312100
53120012134443440
6113554004133320
710142604136563
oct1351711056620
9316358403043
10100112031120
11395036a4802
121749b397240
139595aa644a
144bb9ca44da
15290deb9080
hex174f245d90

100112031120 has 80 divisors (see below), whose sum is σ = 312251389632. Its totient is φ = 26532748800.

The previous prime is 100112031083. The next prime is 100112031143. The reversal of 100112031120 is 21130211001.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 100112031096 and 100112031105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240431 + ... + 1318670.

Almost surely, 2100112031120 is an apocalyptic number.

100112031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112031120 is an abundant number, since it is smaller than the sum of its proper divisors (212139358512).

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

100112031120 is a wasteful number, since it uses less digits than its factorization.

100112031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559280 (or 2559274 counting only the distinct ones).

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

Adding to 100112031120 its reverse (21130211001), we get a palindrome (121242242121).

The spelling of 100112031120 in words is "one hundred billion, one hundred twelve million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 6520 7824 9780 13040 19560 39120 2559101 5118202 7677303 10236404 12795505 15354606 20472808 25591010 30709212 38386515 40945616 51182020 61418424 76773030 102364040 122836848 153546060 204728080 307092120 417133463 614184240 834266926 1251400389 1668533852 2085667315 2502800778 3337067704 4171334630 5005601556 6257001945 6674135408 8342669260 10011203112 12514003890 16685338520 20022406224 25028007780 33370677040 50056015560 100112031120