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1132212042401 = 113111297255173
BaseRepresentation
bin10000011110011101000…
…110001011101010100001
311000020102210201001211012
4100132131012023222201
5122022232240324101
62224044145230305
7144541161366416
oct20363506135241
94006383631735
101132212042401
113a71941aa240
1216351b632395
13829c852a0ab
143cb2960610d
151e6b88c4bbb
hex1079d18baa1

1132212042401 has 16 divisors (see below), whose sum is σ = 1240072149888. Its totient is φ = 1025179027200.

The previous prime is 1132212042371. The next prime is 1132212042407. The reversal of 1132212042401 is 1042402122311.

It is a cyclic number.

It is not a de Polignac number, because 1132212042401 - 26 = 1132212042337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1132212042407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4309451 + ... + 4564623.

It is an arithmetic number, because the mean of its divisors is an integer number (77504509368).

Almost surely, 21132212042401 is an apocalyptic number.

1132212042401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1132212042401 is a deficient number, since it is larger than the sum of its proper divisors (107860107487).

1132212042401 is a wasteful number, since it uses less digits than its factorization.

1132212042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256792.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1132212042401 its reverse (1042402122311), we get a palindrome (2174614164712).

The spelling of 1132212042401 in words is "one trillion, one hundred thirty-two billion, two hundred twelve million, forty-two thousand, four hundred one".

Divisors: 1 11 311 1297 3421 14267 255173 403367 2806903 4437037 79358803 330959381 872946833 3640553191 102928367491 1132212042401