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10021001310 = 2325611825319
BaseRepresentation
bin10010101010100110…
…00101100001011110
3221212101021121111200
421111103011201132
5131010334020220
64334212500330
7503221051155
oct112523054136
927771247450
1010021001310
114282659671
121b3801a6a6
13c39161598
146b0c6c59c
153d9b5a890
hex2554c585e

10021001310 has 48 divisors (see below), whose sum is σ = 26481742560. Its totient is φ = 2628457920.

The previous prime is 10021001303. The next prime is 10021001321. The reversal of 10021001310 is 1310012001.

It is a super-2 number, since 2×100210013102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10021001292 and 10021001301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907170 + ... + 918149.

It is an arithmetic number, because the mean of its divisors is an integer number (551702970).

Almost surely, 210021001310 is an apocalyptic number.

10021001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021001310 is an abundant number, since it is smaller than the sum of its proper divisors (16460741250).

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

10021001310 is a wasteful number, since it uses less digits than its factorization.

10021001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825393 (or 1825390 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10021001310 its reverse (1310012001), we get a palindrome (11331013311).

The spelling of 10021001310 in words is "ten billion, twenty-one million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 1825319 3650638 5475957 9126595 10951914 16427871 18253190 27379785 32855742 54759570 82139355 111344459 164278710 222688918 334033377 556722295 668066754 1002100131 1113444590 1670166885 2004200262 3340333770 5010500655 10021001310