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120530106400 = 25521113696603
BaseRepresentation
bin111000001000000100…
…1110111100000100000
3102112002221122210202211
41300100021313200200
53433321201401100
6131212030251504
711464564000054
oct1602011674040
9375087583684
10120530106400
1147131114990
121b439356b94
13b49ac809b2
145b958d7c64
1532067b91ba
hex1c10277820

120530106400 has 72 divisors (see below), whose sum is σ = 320993611344. Its totient is φ = 43829126400.

The previous prime is 120530106383. The next prime is 120530106401. The reversal of 120530106400 is 4601035021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (120530106401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6839502 + ... + 6857101.

It is an arithmetic number, because the mean of its divisors is an integer number (4458244602).

Almost surely, 2120530106400 is an apocalyptic number.

120530106400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120530106400 is an abundant number, since it is smaller than the sum of its proper divisors (200463504944).

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

120530106400 is a wasteful number, since it uses less digits than its factorization.

120530106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13696634 (or 13696621 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 120530106400 in words is "one hundred twenty billion, five hundred thirty million, one hundred six thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 13696603 27393206 54786412 68483015 109572824 136966030 150662633 219145648 273932060 301325266 342415075 438291296 547864120 602650532 684830150 753313165 1095728240 1205301064 1369660300 1506626330 2191456480 2410602128 2739320600 3013252660 3766565825 4821204256 5478641200 6026505320 7533131650 10957282400 12053010640 15066263300 24106021280 30132526600 60265053200 120530106400