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1000157357173 = 13149351530597
BaseRepresentation
bin11101000110111100000…
…01100010010001110101
310112121120200111222221111
432203132001202101311
5112341310240412143
62043244351115021
7132154555160212
oct16433601422165
93477520458844
101000157357173
11356189832747
12141a06812a71
1373411a723b0
143659d2c8b09
151b03a49a99d
hexe8de062475

1000157357173 has 8 divisors (see below), whose sum is σ = 1077813987768. Its totient is φ = 922603790784.

The previous prime is 1000157357137. The next prime is 1000157357209. The reversal of 1000157357173 is 3717537510001.

It is an interprime number because it is at equal distance from previous prime (1000157357137) and next prime (1000157357209).

It can be written as a sum of positive squares in 4 ways, for example, as 90913104324 + 909244252849 = 301518^2 + 953543^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-1000157357173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000157357473) 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 7 ways as a sum of consecutive naturals, for example, 25745890 + ... + 25784707.

It is an arithmetic number, because the mean of its divisors is an integer number (134726748471).

Almost surely, 21000157357173 is an apocalyptic number.

1000157357173 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000157357173 is a deficient number, since it is larger than the sum of its proper divisors (77656630595).

1000157357173 is a wasteful number, since it uses less digits than its factorization.

1000157357173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51532103.

The product of its (nonzero) digits is 77175, while the sum is 40.

The spelling of 1000157357173 in words is "one trillion, one hundred fifty-seven million, three hundred fifty-seven thousand, one hundred seventy-three".

Divisors: 1 13 1493 19409 51530597 669897761 76935181321 1000157357173