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101957401 = 71319109541
BaseRepresentation
bin1100001001110…
…11111100011001
321002211222021001
412010323330121
5202100114101
614041145001
72345423620
oct604737431
9232758231
10101957401
1152609117
122a18b161
131817a730
14d7806b7
158e3e901
hex613bf19

101957401 has 32 divisors (see below), whose sum is σ = 133548800. Its totient is φ = 75582720.

The previous prime is 101957393. The next prime is 101957407. The reversal of 101957401 is 104759101.

It is a 4-Lehmer number, since φ(101957401) divides (101957401-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 101957401 - 23 = 101957393 is a prime.

It is a deceptive number, since it divides R101957400.

It is a self number, because there is not a number n which added to its sum of digits gives 101957401.

It is not an unprimeable number, because it can be changed into a prime (101957407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188191 + ... + 188731.

It is an arithmetic number, because the mean of its divisors is an integer number (4173400).

It is a Poulet number, since it divides 2101957400-1.

Almost surely, 2101957401 is an apocalyptic number.

It is an amenable number.

101957401 is a deficient number, since it is larger than the sum of its proper divisors (31591399).

101957401 is a wasteful number, since it uses less digits than its factorization.

101957401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 101957401 is about 10097.3957533614. The cubic root of 101957401 is about 467.1678191603.

The spelling of 101957401 in words is "one hundred one million, nine hundred fifty-seven thousand, four hundred one".

Divisors: 1 7 13 19 91 109 133 247 541 763 1417 1729 2071 3787 7033 9919 10279 14497 26923 49231 58969 71953 133627 188461 412783 766597 935389 1120411 5366179 7842877 14565343 101957401