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10020131000 = 235311282811
BaseRepresentation
bin10010101010011111…
…10001000010111000
3221212022122101122222
421111033301002320
5131010123143000
64334142103212
7503210464625
oct112517610270
927768571588
1010020131000
114282114800
121b3787ab08
13c38c183c9
146b0ac334c
153d9a37a85
hex2553f10b8

10020131000 has 96 divisors (see below), whose sum is σ = 25772750640. Its totient is φ = 3643640000.

The previous prime is 10020130997. The next prime is 10020131003. The reversal of 10020131000 is 13102001.

It is an interprime number because it is at equal distance from previous prime (10020130997) and next prime (10020131003).

It is a super-2 number, since 2×100201310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020131003) 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, 79595 + ... + 162405.

Almost surely, 210020131000 is an apocalyptic number.

10020131000 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 10020131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886375320).

10020131000 is an abundant number, since it is smaller than the sum of its proper divisors (15752619640).

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

10020131000 is a wasteful number, since it uses less digits than its factorization.

10020131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82854 (or 82829 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10020131000 its reverse (13102001), we get a palindrome (10033233001).

The spelling of 10020131000 in words is "ten billion, twenty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 82811 121000 165622 331244 414055 662488 828110 910921 1656220 1821842 2070275 3312440 3643684 4140550 4554605 7287368 8281100 9109210 10020131 10351375 16562200 18218420 20040262 20702750 22773025 36436840 40080524 41405500 45546050 50100655 80161048 82811000 91092100 100201310 113865125 182184200 200402620 227730250 250503275 400805240 455460500 501006550 910921000 1002013100 1252516375 2004026200 2505032750 5010065500 10020131000