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120133400100 = 22352757206381
BaseRepresentation
bin110111111100010000…
…0100011011000100100
3102111002022012001000220
41233320200203120210
53432013122300400
6131104415404340
711452006023660
oct1577040433044
9374068161026
10120133400100
1146a4819963a
121b3485236b0
13b436a2363c
145b58d4d8a0
1531d1a567a0
hex1bf8823624

120133400100 has 72 divisors (see below), whose sum is σ = 397241116608. Its totient is φ = 27459062400.

The previous prime is 120133400069. The next prime is 120133400113. The reversal of 120133400100 is 1004331021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120133400100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28601091 + ... + 28605290.

Almost surely, 2120133400100 is an apocalyptic number.

120133400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120133400100 is an abundant number, since it is smaller than the sum of its proper divisors (277107716508).

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

120133400100 is a wasteful number, since it uses less digits than its factorization.

120133400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57206405 (or 57206398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120133400100 its reverse (1004331021), we get a palindrome (121137731121).

The spelling of 120133400100 in words is "one hundred twenty billion, one hundred thirty-three million, four hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 57206381 114412762 171619143 228825524 286031905 343238286 400444667 572063810 686476572 800889334 858095715 1144127620 1201334001 1430159525 1601778668 1716191430 2002223335 2402668002 2860319050 3432382860 4004446670 4290478575 4805336004 5720638100 6006670005 8008893340 8580957150 10011116675 12013340010 17161914300 20022233350 24026680020 30033350025 40044466700 60066700050 120133400100