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1121132670408 = 233237420845597
BaseRepresentation
bin10000010100001000101…
…101101110110111001000
310222011211122220122200100
4100110020231232313020
5121332034430423113
62215012524005400
7143666466314352
oct20241055566710
93864748818610
101121132670408
113a251918a063
12161349090860
138195103218a
143c397d940d2
151e26ada7d73
hex10508b6edc8

1121132670408 has 48 divisors (see below), whose sum is σ = 3118465881180. Its totient is φ = 363610594944.

The previous prime is 1121132670401. The next prime is 1121132670473. The reversal of 1121132670408 is 8040762311211.

1121132670408 is a `hidden beast` number, since 1 + 1 + 211 + 32 + 6 + 7 + 0 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 899534639844 + 221598030564 = 948438^2 + 470742^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1121132670401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210420135 + ... + 210425462.

Almost surely, 21121132670408 is an apocalyptic number.

1121132670408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1121132670408 is an abundant number, since it is smaller than the sum of its proper divisors (1997333210772).

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

1121132670408 is a wasteful number, since it uses less digits than its factorization.

1121132670408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420845646 (or 420845639 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 1121132670408 its reverse (8040762311211), we get a palindrome (9161894981619).

The spelling of 1121132670408 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-two million, six hundred seventy thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 420845597 841691194 1262536791 1683382388 2525073582 3366764776 3787610373 5050147164 7575220746 10100294328 15150441492 15571287089 30300882984 31142574178 46713861267 62285148356 93427722534 124570296712 140141583801 186855445068 280283167602 373710890136 560566335204 1121132670408