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120853135400 = 23524157145361
BaseRepresentation
bin111000010001101101…
…0001000000000101000
3102112221110111101020212
41300203122020000220
53440001400313100
6131304050040252
711505565462424
oct1604332100050
9375843441225
10120853135400
11472874983a8
121b509579088
13b51cb8280a
145bc6783b84
153224d26635
hex1c23688028

120853135400 has 48 divisors (see below), whose sum is σ = 281053066140. Its totient is φ = 48329292800.

The previous prime is 120853135373. The next prime is 120853135423. The reversal of 120853135400 is 4531358021.

It can be written as a sum of positive squares in 6 ways, for example, as 77940355684 + 42912779716 = 279178^2 + 207154^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758720 + ... + 904080.

Almost surely, 2120853135400 is an apocalyptic number.

120853135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120853135400 is an abundant number, since it is smaller than the sum of its proper divisors (160199930740).

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

120853135400 is a wasteful number, since it uses less digits than its factorization.

120853135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149534 (or 149525 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 120853135400 in words is "one hundred twenty billion, eight hundred fifty-three million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4157 8314 16628 20785 33256 41570 83140 103925 145361 166280 207850 290722 415700 581444 726805 831400 1162888 1453610 2907220 3634025 5814440 7268050 14536100 29072200 604265677 1208531354 2417062708 3021328385 4834125416 6042656770 12085313540 15106641925 24170627080 30213283850 60426567700 120853135400