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357380101 = 13196312293
BaseRepresentation
bin10101010011010…
…011000000000101
3220220110210100001
4111103103000011
51212442130401
655243521301
711566452331
oct2523230005
9826423301
10357380101
11173805a61
129b829231
135906b420
143566c7c1
1521595601
hex154d3005

357380101 has 16 divisors (see below), whose sum is σ = 405946240. Its totient is φ = 311895360.

The previous prime is 357380083. The next prime is 357380143. The reversal of 357380101 is 101083753.

It is a 3-Lehmer number, since φ(357380101) divides (357380101-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 357380101 - 217 = 357249029 is a prime.

It is a deceptive number, since it divides R357380100.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 357380101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357380801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154711 + ... + 157003.

It is an arithmetic number, because the mean of its divisors is an integer number (25371640).

It is a Poulet number, since it divides 2357380100-1.

Almost surely, 2357380101 is an apocalyptic number.

It is an amenable number.

357380101 is a deficient number, since it is larger than the sum of its proper divisors (48566139).

357380101 is a wasteful number, since it uses less digits than its factorization.

357380101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 357380101 is about 18904.4994908620. The cubic root of 357380101 is about 709.6487722572.

The spelling of 357380101 in words is "three hundred fifty-seven million, three hundred eighty thousand, one hundred one".

Divisors: 1 13 19 247 631 2293 8203 11989 29809 43567 155857 566371 1446883 18809479 27490777 357380101