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2041200402120 = 2332511515454647
BaseRepresentation
bin11101101101000001000…
…001100101111011001000
321020010200202200010121100
4131231001001211323020
5231420334300331440
64201414200341400
7300320564100345
oct35550101457310
97203622603540
102041200402120
1171773945a7a0
1228b721a74860
1311a63b21c139
1470b1a6537cc
153816a07e230
hex1db41065ec8

2041200402120 has 96 divisors (see below), whose sum is σ = 7236983257920. Its totient is φ = 494836460160.

The previous prime is 2041200402089. The next prime is 2041200402151. The reversal of 2041200402120 is 212040021402.

2041200402120 is a `hidden beast` number, since 2 + 0 + 41 + 200 + 402 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2041200402089) and next prime (2041200402151).

It is a super-2 number, since 2×20412004021202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2041200402093 and 2041200402102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 257723364 + ... + 257731283.

It is an arithmetic number, because the mean of its divisors is an integer number (75385242270).

Almost surely, 22041200402120 is an apocalyptic number.

2041200402120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041200402120 is an abundant number, since it is smaller than the sum of its proper divisors (5195782855800).

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

2041200402120 is a wasteful number, since it uses less digits than its factorization.

2041200402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515454675 (or 515454668 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2041200402120 its reverse (212040021402), we get a palindrome (2253240423522).

The spelling of 2041200402120 in words is "two trillion, forty-one billion, two hundred million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 515454647 1030909294 1546363941 2061818588 2577273235 3092727882 4123637176 4639091823 5154546470 5670001117 6185455764 7731819705 9278183646 10309092940 11340002234 12370911528 15463639410 17010003351 18556367292 20618185880 22680004468 23195459115 28350005585 30927278820 34020006702 37112734584 45360008936 46390918230 51030010053 56700011170 61854557640 68040013404 85050016755 92781836460 102060020106 113400022340 136080026808 170100033510 185563672920 204120040212 226800044680 255150050265 340200067020 408240080424 510300100530 680400134040 1020600201060 2041200402120