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215025121120 = 2553736321811
BaseRepresentation
bin1100100001000001111…
…1101111011101100000
3202120000110200220212211
43020100133233131200
512010332412333440
6242440422331504
721351344241565
oct3102037573540
9676013626784
10215025121120
1183212091077
123580b589b94
131737a1225a4
14a59b7a486c
1558d759beea
hex32107ef760

215025121120 has 48 divisors (see below), whose sum is σ = 521726507568. Its totient is φ = 83685450240.

The previous prime is 215025121081. The next prime is 215025121127. The reversal of 215025121120 is 21121520512.

It is a happy number.

215025121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 215025121091 and 215025121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215025121127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18154986 + ... + 18166825.

It is an arithmetic number, because the mean of its divisors is an integer number (10869302241).

Almost surely, 2215025121120 is an apocalyptic number.

215025121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215025121120 is an abundant number, since it is smaller than the sum of its proper divisors (306701386448).

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

215025121120 is a wasteful number, since it uses less digits than its factorization.

215025121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36321863 (or 36321855 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 215025121120 its reverse (21121520512), we get a palindrome (236146641632).

The spelling of 215025121120 in words is "two hundred fifteen billion, twenty-five million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 36321811 72643622 145287244 181609055 290574488 363218110 581148976 726436220 1162297952 1343907007 1452872440 2687814014 2905744880 5375628028 5811489760 6719535035 10751256056 13439070070 21502512112 26878140140 43005024224 53756280280 107512560560 215025121120