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10244271810 = 2354713815261
BaseRepresentation
bin10011000101001101…
…10010111011000010
3222102221101221001110
421202212302323002
5131440013144220
64412310144150
7511601605443
oct114246627302
928387357043
1010244271810
114387696043
121b9a952056
13c734a57c6
146d278b2ca
153ee55ebe0
hex2629b2ec2

10244271810 has 64 divisors (see below), whose sum is σ = 25132322304. Its totient is φ = 2671238400.

The previous prime is 10244271803. The next prime is 10244271841. The reversal of 10244271810 is 1817244201.

It is a super-2 number, since 2×102442718102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1944580 + ... + 1949840.

It is an arithmetic number, because the mean of its divisors is an integer number (392692536).

Almost surely, 210244271810 is an apocalyptic number.

10244271810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244271810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566161152).

10244271810 is an abundant number, since it is smaller than the sum of its proper divisors (14888050494).

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

10244271810 is a wasteful number, since it uses less digits than its factorization.

10244271810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699.

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 10244271810 in words is "ten billion, two hundred forty-four million, two hundred seventy-one thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1381 1410 2762 4143 5261 6905 8286 10522 13810 15783 20715 26305 31566 41430 52610 64907 78915 129814 157830 194721 247267 324535 389442 494534 649070 741801 973605 1236335 1483602 1947210 2472670 3709005 7265441 7418010 14530882 21796323 36327205 43592646 72654410 108981615 217963230 341475727 682951454 1024427181 1707378635 2048854362 3414757270 5122135905 10244271810