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10130442140 = 2257137376249
BaseRepresentation
bin10010110111101001…
…00100011110011100
3222011000012210002202
421123310210132130
5131221343122030
64353122311032
7506020223510
oct113364443634
928130183082
1010130442140
114329409135
121b687b8478
13c55a2c280
146c15da140
153e4577745
hex25bd2479c

10130442140 has 96 divisors (see below), whose sum is σ = 26542320000. Its totient is φ = 3162157056.

The previous prime is 10130442053. The next prime is 10130442149. The reversal of 10130442140 is 4124403101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130442149) 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, 94736 + ... + 170984.

It is an arithmetic number, because the mean of its divisors is an integer number (276482500).

Almost surely, 210130442140 is an apocalyptic number.

10130442140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271160000).

10130442140 is an abundant number, since it is smaller than the sum of its proper divisors (16411877860).

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

10130442140 is a wasteful number, since it uses less digits than its factorization.

10130442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76351 (or 76349 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10130442140 its reverse (4124403101), we get a palindrome (14254845241).

The spelling of 10130442140 in words is "ten billion, one hundred thirty million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 730 910 949 1022 1460 1820 1898 2044 2555 3796 4745 5110 6643 9490 10220 13286 18980 26572 33215 66430 76249 132860 152498 304996 381245 533743 762490 991237 1067486 1524980 1982474 2134972 2668715 3964948 4956185 5337430 5566177 6938659 9912370 10674860 11132354 13877318 19824740 22264708 27754636 27830885 34693295 38963239 55661770 69386590 72360301 77926478 111323540 138773180 144720602 155852956 194816195 289441204 361801505 389632390 506522107 723603010 779264780 1013044214 1447206020 2026088428 2532610535 5065221070 10130442140