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214004100120 = 23351783367501
BaseRepresentation
bin1100011101001110100…
…0110110110000011000
3202110101022110200101020
43013103220312300120
512001240022200440
6242151230322440
721314135560146
oct3072350666030
9673338420336
10214004100120
118283880a968
1235585659420
1317246735355
14a501d44596
155877b173d0
hex31d3a36c18

214004100120 has 32 divisors (see below), whose sum is σ = 642012300720. Its totient is φ = 57067760000.

The previous prime is 214004100103. The next prime is 214004100137. The reversal of 214004100120 is 21001400412.

It is an interprime number because it is at equal distance from previous prime (214004100103) and next prime (214004100137).

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 214004100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891683631 + ... + 891683870.

Almost surely, 2214004100120 is an apocalyptic number.

214004100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214004100120 is an abundant number, since it is smaller than the sum of its proper divisors (428008200600).

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

214004100120 is a wasteful number, since it uses less digits than its factorization.

214004100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783367515 (or 1783367511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 214004100120 its reverse (21001400412), we get a palindrome (235005500532).

The spelling of 214004100120 in words is "two hundred fourteen billion, four million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1783367501 3566735002 5350102503 7133470004 8916837505 10700205006 14266940008 17833675010 21400410012 26750512515 35667350020 42800820024 53501025030 71334700040 107002050060 214004100120