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101708014014 = 237109213329
BaseRepresentation
bin101111010111001000…
…1010010000110111110
3100201112012120110000000
41132232101102012332
53131244222422024
6114420215415130
710230263566125
oct1365621220676
9321465513000
10101708014014
113a152582332
12178659844a6
13978b633919
144ccbc30abc
1529a4172cc9
hex17ae4521be

101708014014 has 64 divisors (see below), whose sum is σ = 230908392000. Its totient is φ = 33591480192.

The previous prime is 101708014007. The next prime is 101708014021. The reversal of 101708014014 is 410410807101.

101708014014 is a `hidden beast` number, since 10 + 170 + 80 + 1 + 401 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (101708014007) and next prime (101708014021).

It is a super-2 number, since 2×1017080140142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370102 + ... + 583430.

It is an arithmetic number, because the mean of its divisors is an integer number (3607943625).

Almost surely, 2101708014014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101708014014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115454196000).

101708014014 is an abundant number, since it is smaller than the sum of its proper divisors (129200377986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101708014014 is an equidigital number, since it uses as much as digits as its factorization.

101708014014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213461 (or 213443 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 101708014014 in words is "one hundred one billion, seven hundred eight million, fourteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 243 327 486 654 729 981 1458 1962 2187 2943 4374 5886 8829 17658 26487 52974 79461 158922 213329 238383 426658 476766 639987 1279974 1919961 3839922 5759883 11519766 17279649 23252861 34559298 46505722 51838947 69758583 103677894 139517166 155516841 209275749 311033682 418551498 466550523 627827247 933101046 1255654494 1883481741 3766963482 5650445223 11300890446 16951335669 33902671338 50854007007 101708014014