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101342441020 = 225171312275313
BaseRepresentation
bin101111001100001111…
…0101110111000111100
3100200120201200102010111
41132120132232320330
53130022131103040
6114320040115404
710215234351502
oct1363036567074
9320521612114
10101342441020
1139a85190997
1217783465b64
139730987342
144c9546c672
15298200edea
hex17987aee3c

101342441020 has 48 divisors (see below), whose sum is σ = 227058134688. Its totient is φ = 37861191680.

The previous prime is 101342440981. The next prime is 101342441023. The reversal of 101342441020 is 20144243101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101342440982 and 101342441000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101342441023) 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, 1093117 + ... + 1182196.

It is an arithmetic number, because the mean of its divisors is an integer number (4730377806).

Almost surely, 2101342441020 is an apocalyptic number.

101342441020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101342441020 is an abundant number, since it is smaller than the sum of its proper divisors (125715693668).

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

101342441020 is a wasteful number, since it uses less digits than its factorization.

101342441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275470 (or 2275468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101342441020 its reverse (20144243101), we get a palindrome (121486684121).

The spelling of 101342441020 in words is "one hundred one billion, three hundred forty-two million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 131 170 262 340 524 655 1310 2227 2620 4454 8908 11135 22270 44540 2275313 4550626 9101252 11376565 22753130 38680321 45506260 77360642 154721284 193401605 298066003 386803210 596132006 773606420 1192264012 1490330015 2980660030 5067122051 5961320060 10134244102 20268488204 25335610255 50671220510 101342441020