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1220042100431 = 711611783145681
BaseRepresentation
bin10001110000010000001…
…011010000111011001111
311022122010211110022011102
4101300100023100323033
5124442121234203211
62332251332213315
7154100531513510
oct21602013207317
94278124408142
101220042100431
11430464a60860
1217855176a23b
138b08491322b
144309c24ca07
1521b094c0a3b
hex11c102d0ecf

1220042100431 has 32 divisors (see below), whose sum is σ = 1546905086976. Its totient is φ = 934566336000.

The previous prime is 1220042100427. The next prime is 1220042100467. The reversal of 1220042100431 is 1340012400221.

It is not a de Polignac number, because 1220042100431 - 22 = 1220042100427 is a prime.

It is a super-2 number, since 2×12200421004312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220042100131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8301911 + ... + 8447591.

It is an arithmetic number, because the mean of its divisors is an integer number (48340783968).

Almost surely, 21220042100431 is an apocalyptic number.

1220042100431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1220042100431 is a deficient number, since it is larger than the sum of its proper divisors (326862986545).

1220042100431 is a wasteful number, since it uses less digits than its factorization.

1220042100431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147543.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1220042100431 its reverse (1340012400221), we get a palindrome (2560054500652).

The spelling of 1220042100431 in words is "one trillion, two hundred twenty billion, forty-two million, one hundred thousand, four hundred thirty-one".

Divisors: 1 7 11 61 77 427 671 1783 4697 12481 19613 108763 137291 145681 761341 1019767 1196393 1602491 8374751 8886541 11217437 62205787 97751951 259749223 684263657 1818244561 2857241453 15844702603 20000690171 110912918221 174291728633 1220042100431