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10020310020 = 2232577952627
BaseRepresentation
bin10010101010100000…
…11100110000000100
3221212022222111020100
421111100130300010
5131010144410040
64334150004100
7503212141560
oct112520346004
927768874210
1010020310020
114282227256
121b37946630
13c38c7ba36
146b0b2c6a0
153d9a70b30
hex25541cc04

10020310020 has 72 divisors (see below), whose sum is σ = 34737079104. Its totient is φ = 2290356288.

The previous prime is 10020310007. The next prime is 10020310037. The reversal of 10020310020 is 2001302001.

It is a happy number.

It is a super-2 number, since 2×100203100202 (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 junction number, because it is equal to n+sod(n) for n = 10020309984 and 10020310011.

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, 3975054 + ... + 3977573.

It is an arithmetic number, because the mean of its divisors is an integer number (482459432).

Almost surely, 210020310020 is an apocalyptic number.

10020310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020310020 is an abundant number, since it is smaller than the sum of its proper divisors (24716769084).

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

10020310020 is a wasteful number, since it uses less digits than its factorization.

10020310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952649 (or 7952644 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10020310020 its reverse (2001302001), we get a palindrome (12021612021).

The spelling of 10020310020 in words is "ten billion, twenty million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 7952627 15905254 23857881 31810508 39763135 47715762 55668389 71573643 79526270 95431524 111336778 119289405 143147286 159052540 167005167 222673556 238578810 278341945 286294572 334010334 357868215 477157620 501015501 556683890 668020668 715736430 835025835 1002031002 1113367780 1431472860 1670051670 2004062004 2505077505 3340103340 5010155010 10020310020