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215134124201400 = 23352615535825173
BaseRepresentation
bin110000111010100111010001…
…000011010101010110111000
31001012201121210000022211011210
4300322213101003111112320
5211144224141243421100
62041315130254123120
763212633102435355
oct6072472103252670
91035647700284153
10215134124201400
1162603962638568
1220166526ab04a0
1393070a393cc31
143b1a79360962c
1519d11eb672c50
hexc3a9d10d55b8

215134124201400 has 96 divisors (see below), whose sum is σ = 666926734336560. Its totient is φ = 57368157911040.

The previous prime is 215134124201383. The next prime is 215134124201407. The reversal of 215134124201400 is 4102421431512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215134124201407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34019214 + ... + 39844386.

Almost surely, 2215134124201400 is an apocalyptic number.

215134124201400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215134124201400 is an abundant number, since it is smaller than the sum of its proper divisors (451792610135160).

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

215134124201400 is a wasteful number, since it uses less digits than its factorization.

215134124201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886745 (or 5886736 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 215134124201400 its reverse (4102421431512), we get a palindrome (219236545632912).

The spelling of 215134124201400 in words is "two hundred fifteen trillion, one hundred thirty-four billion, one hundred twenty-four million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 61553 123106 184659 246212 307765 369318 492424 615530 738636 923295 1231060 1477272 1538825 1846590 2462120 3077650 3693180 4616475 5825173 6155300 7386360 9232950 11650346 12310600 17475519 18465900 23300692 29125865 34951038 36931800 46601384 58251730 69902076 87377595 116503460 139804152 145629325 174755190 233006920 291258650 349510380 436887975 582517300 699020760 873775950 1165034600 1747551900 3495103800 358556873669 717113747338 1075670621007 1434227494676 1792784368345 2151341242014 2868454989352 3585568736690 4302682484028 5378353105035 7171137473380 8605364968056 8963921841725 10756706210070 14342274946760 17927843683450 21513412420140 26891765525175 35855687366900 43026824840280 53783531050350 71711374733800 107567062100700 215134124201400