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106088028451141 = 1137615142376613
BaseRepresentation
bin11000000111110010001011…
…010000000011000101000101
3111220121220202002220201201011
4120013302023100003011011
5102401121240240414031
61013344100101002221
731226415146143222
oct3007621320030505
9456556662821634
10106088028451141
11308917533958a0
12ba946a20b3371
13472709aa02949
141c2a98bb2c949
15c3e8d69916b1
hex607c8b403145

106088028451141 has 16 divisors (see below), whose sum is σ = 118879623773568. Its totient is φ = 93821818968000.

The previous prime is 106088028451129. The next prime is 106088028451211. The reversal of 106088028451141 is 141154820880601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106088028451141 - 223 = 106088020062533 is a prime.

It is a super-2 number, since 2×1060880284511412 (a number of 29 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 (106088028451121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18684850 + ... + 23691763.

It is an arithmetic number, because the mean of its divisors is an integer number (7429976485848).

Almost surely, 2106088028451141 is an apocalyptic number.

106088028451141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106088028451141 is a deficient number, since it is larger than the sum of its proper divisors (12791595322427).

106088028451141 is a wasteful number, since it uses less digits than its factorization.

106088028451141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42382812.

The product of its (nonzero) digits is 491520, while the sum is 49.

The spelling of 106088028451141 in words is "one hundred six trillion, eighty-eight billion, twenty-eight million, four hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 11 37 407 6151 67661 227587 2503457 42376613 466142743 1567934681 17247281491 260658546563 2867244012193 9644366222831 106088028451141