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101057714381 = 1335322021729
BaseRepresentation
bin101111000011110000…
…0100101100011001101
3100122211212220210121102
41132013200211203031
53123431233330011
6114231505312445
710205206253621
oct1360740454315
9318755823542
10101057714381
1139949499618
1217704035725
1396b69a6440
144c69713181
15296701b73b
hex17878258cd

101057714381 has 8 divisors (see below), whose sum is σ = 109139693880. Its totient is φ = 93019779072.

The previous prime is 101057714377. The next prime is 101057714383. The reversal of 101057714381 is 183417750101.

It can be written as a sum of positive squares in 4 ways, for example, as 12988249156 + 88069465225 = 113966^2 + 296765^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101057714381 - 22 = 101057714377 is a prime.

It is a super-2 number, since 2×1010577143812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101057714383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11006276 + ... + 11015453.

It is an arithmetic number, because the mean of its divisors is an integer number (13642461735).

Almost surely, 2101057714381 is an apocalyptic number.

It is an amenable number.

101057714381 is a deficient number, since it is larger than the sum of its proper divisors (8081979499).

101057714381 is a wasteful number, since it uses less digits than its factorization.

101057714381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22022095.

The product of its (nonzero) digits is 23520, while the sum is 38.

The spelling of 101057714381 in words is "one hundred one billion, fifty-seven million, seven hundred fourteen thousand, three hundred eighty-one".

Divisors: 1 13 353 4589 22021729 286282477 7773670337 101057714381