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10400244131133 = 342631511323101
BaseRepresentation
bin1001011101010111111011…
…0110110110010100111101
31100211020211220011202210000
42113111332312312110331
52330344144444144013
634041450045504513
72122251513335013
oct227257666662475
940736756152700
1010400244131133
11334a79a75078a
1211bb778872139
135a597b232b4c
1427d5358c08b3
15130802eb1973
hex9757edb653d

10400244131133 has 40 divisors (see below), whose sum is σ = 15605609475456. Its totient is φ = 6902540388000.

The previous prime is 10400244131113. The next prime is 10400244131141. The reversal of 10400244131133 is 33113144200401.

10400244131133 is a `hidden beast` number, since 1 + 0 + 400 + 244 + 1 + 3 + 1 + 13 + 3 = 666.

It is not a de Polignac number, because 10400244131133 - 29 = 10400244130621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10400244131097 and 10400244131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400244131113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32027283 + ... + 32350383.

Almost surely, 210400244131133 is an apocalyptic number.

It is an amenable number.

10400244131133 is a deficient number, since it is larger than the sum of its proper divisors (5205365344323).

10400244131133 is a wasteful number, since it uses less digits than its factorization.

10400244131133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324887 (or 324878 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10400244131133 its reverse (33113144200401), we get a palindrome (43513388331534).

The spelling of 10400244131133 in words is "ten trillion, four hundred billion, two hundred forty-four million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 263 789 1511 2367 4533 7101 13599 21303 40797 122391 323101 397393 969303 1192179 2907909 3576537 8723727 10729611 26171181 32188833 84975563 254926689 488205611 764780067 1464616833 2294340201 4393850499 6883020603 13181551497 39544654491 128398075693 385194227079 1155582681237 3466748043711 10400244131133