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100245374328 = 233112231500859
BaseRepresentation
bin101110101011100010…
…1110000010101111000
3100120202021100122112210
41131113011300111320
53120300303434303
6114015130135120
710146113423361
oct1352705602570
9316667318483
10100245374328
113957199a500
1217517b814a0
1395b75c2858
144bcd894b68
15291aa58203
hex1757170578

100245374328 has 96 divisors (see below), whose sum is σ = 287444707200. Its totient is φ = 29056610880.

The previous prime is 100245374323. The next prime is 100245374329. The reversal of 100245374328 is 823473542001.

100245374328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100245374323) 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 23 ways as a sum of consecutive naturals, for example, 683638 + ... + 817221.

It is an arithmetic number, because the mean of its divisors is an integer number (2994215700).

Almost surely, 2100245374328 is an apocalyptic number.

It is an amenable number.

100245374328 is an abundant number, since it is smaller than the sum of its proper divisors (187199332872).

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

100245374328 is a wasteful number, since it uses less digits than its factorization.

100245374328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500913 (or 1500898 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 100245374328 in words is "one hundred billion, two hundred forty-five million, three hundred seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 726 759 968 1012 1452 1518 2024 2783 2904 3036 5566 6072 8349 11132 16698 22264 33396 66792 1500859 3001718 4502577 6003436 9005154 12006872 16509449 18010308 33018898 34519757 36020616 49528347 66037796 69039514 99056694 103559271 132075592 138079028 181603939 198113388 207118542 276158056 363207878 379717327 396226776 414237084 544811817 726415756 759434654 828474168 1089623634 1139151981 1452831512 1518869308 2179247268 2278303962 3037738616 4176890597 4358494536 4556607924 8353781194 9113215848 12530671791 16707562388 25061343582 33415124776 50122687164 100245374328