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1120130142984 = 233317928970881
BaseRepresentation
bin10000010011001100111…
…101011001001100001000
310222002020210110222121000
4100103030331121030020
5121323011304033414
62214325232215000
7143632604056026
oct20231475311410
93862223428530
101120130142984
113a205429a3a6
1216110939a460
138182141b798
143c300b89716
151e20cd77b09
hex104ccf59308

1120130142984 has 64 divisors (see below), whose sum is σ = 3128855256000. Its totient is φ = 371290798080.

The previous prime is 1120130142983. The next prime is 1120130143009. The reversal of 1120130142984 is 4892410310211.

1120130142984 is a `hidden beast` number, since 1 + 1 + 20 + 130 + 1 + 429 + 84 = 666.

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 (1120130142983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14446777 + ... + 14524104.

It is an arithmetic number, because the mean of its divisors is an integer number (48888363375).

Almost surely, 21120130142984 is an apocalyptic number.

It is an amenable number.

1120130142984 is an abundant number, since it is smaller than the sum of its proper divisors (2008725113016).

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

1120130142984 is a wasteful number, since it uses less digits than its factorization.

1120130142984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28971075 (or 28971065 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1120130142984 in words is "one trillion, one hundred twenty billion, one hundred thirty million, one hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 1074 1432 1611 2148 3222 4296 4833 6444 9666 12888 19332 38664 28970881 57941762 86912643 115883524 173825286 231767048 260737929 347650572 521475858 695301144 782213787 1042951716 1564427574 2085903432 3128855148 5185787699 6257710296 10371575398 15557363097 20743150796 31114726194 41486301592 46672089291 62229452388 93344178582 124458904776 140016267873 186688357164 280032535746 373376714328 560065071492 1120130142984