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2131242141400 = 235223676915127
BaseRepresentation
bin11111000000110111111…
…011100100011011011000
321112202002221002102020221
4133000313323210123120
5234404240442011100
64311025031325424
7306656111204641
oct37006773443330
97482087072227
102131242141400
1175194469a159
122a5070820874
13125c8a8967c8
147521ccd86c8
153a689e0301a
hex1f037ee46d8

2131242141400 has 96 divisors (see below), whose sum is σ = 5247752336640. Its totient is φ = 803261036160.

The previous prime is 2131242141359. The next prime is 2131242141401. The reversal of 2131242141400 is 41412421312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131242141401) 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, 3149364 + ... + 3765763.

It is an arithmetic number, because the mean of its divisors is an integer number (54664086840).

Almost surely, 22131242141400 is an apocalyptic number.

2131242141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131242141400 is an abundant number, since it is smaller than the sum of its proper divisors (3116510195240).

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

2131242141400 is a wasteful number, since it uses less digits than its factorization.

2131242141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915233 (or 6915224 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 2131242141400 its reverse (41412421312), we get a palindrome (2172654562712).

The spelling of 2131242141400 in words is "two trillion, one hundred thirty-one billion, two hundred forty-two million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 67 92 100 115 134 184 200 230 268 335 460 536 575 670 920 1150 1340 1541 1675 2300 2680 3082 3350 4600 6164 6700 7705 12328 13400 15410 30820 38525 61640 77050 154100 308200 6915127 13830254 27660508 34575635 55321016 69151270 138302540 159047921 172878175 276605080 318095842 345756350 463313509 636191684 691512700 795239605 926627018 1272383368 1383025400 1590479210 1853254036 2316567545 3180958420 3706508072 3976198025 4633135090 6361916840 7952396050 9266270180 10656210707 11582837725 15904792100 18532540360 21312421414 23165675450 31809584200 42624842828 46331350900 53281053535 85249685656 92662701800 106562107070 213124214140 266405267675 426248428280 532810535350 1065621070700 2131242141400