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101404336770477 = 32134121139115441
BaseRepresentation
bin10111000011101000001001…
…011110001100110110101101
3111022001011022120201002110100
4113003220021132030312231
5101242402040203123402
6555400301553301313
730234135665553066
oct2703501136146655
9438034276632410
10101404336770477
112a3463795572a4
12b458a0b264839
134477507374ba0
141b07dd339756d
15bacb5d52871c
hex5c3a0978cdad

101404336770477 has 24 divisors (see below), whose sum is σ = 161587398438648. Its totient is φ = 60880652467200.

The previous prime is 101404336770433. The next prime is 101404336770493. The reversal of 101404336770477 is 774077633404101.

101404336770477 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 43 + 3 + 67 + 70 + 477 = 666.

101404336770477 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11504754961956 + 89899581808521 = 3391866^2 + 9481539^2 .

It is not a de Polignac number, because 101404336770477 - 215 = 101404336737709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101404336771477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10569552924 + ... + 10569562517.

It is an arithmetic number, because the mean of its divisors is an integer number (6732808268277).

Almost surely, 2101404336770477 is an apocalyptic number.

It is an amenable number.

101404336770477 is a deficient number, since it is larger than the sum of its proper divisors (60183061668171).

101404336770477 is a wasteful number, since it uses less digits than its factorization.

101404336770477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21139115501 (or 21139115498 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 101404336770477 in words is "one hundred one trillion, four hundred four billion, three hundred thirty-six million, seven hundred seventy thousand, four hundred seventy-seven".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 21139115441 63417346323 190252038969 274808500733 824425502199 866703733081 2473276506597 2600111199243 7800333597729 11267148530053 33801445590159 101404336770477