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120202221020 = 225759139104693
BaseRepresentation
bin110111111110010011…
…1000101010111011100
3102111021002200111120212
41233330213011113130
53432133232033040
6131115314431552
711453503010030
oct1577447052734
9374232614525
10120202221020
1146a83024832
121b3675925b8
13b44806b58b
145b641461c0
1531d7aecd65
hex1bfc9c55dc

120202221020 has 96 divisors (see below), whose sum is σ = 295488345600. Its totient is φ = 40221828864.

The previous prime is 120202221019. The next prime is 120202221043. The reversal of 120202221020 is 20122202021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120202220986 and 120202221004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095794 + ... + 1200486.

It is an arithmetic number, because the mean of its divisors is an integer number (3078003600).

Almost surely, 2120202221020 is an apocalyptic number.

120202221020 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 120202221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744172800).

120202221020 is an abundant number, since it is smaller than the sum of its proper divisors (175286124580).

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

120202221020 is a wasteful number, since it uses less digits than its factorization.

120202221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104907 (or 104905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120202221020 its reverse (20122202021), we get a palindrome (140324423041).

The spelling of 120202221020 in words is "one hundred twenty billion, two hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 139 140 236 278 295 413 556 590 695 826 973 1180 1390 1652 1946 2065 2780 3892 4130 4865 8201 8260 9730 16402 19460 32804 41005 57407 82010 104693 114814 164020 209386 229628 287035 418772 523465 574070 732851 1046930 1148140 1465702 2093860 2931404 3664255 6176887 7328510 12353774 14552327 14657020 24707548 29104654 30884435 43238209 58209308 61768870 72761635 86476418 101866289 123537740 145523270 172952836 203732578 216191045 291046540 407465156 432382090 509331445 858587293 864764180 1018662890 1717174586 2037325780 3434349172 4292936465 6010111051 8585872930 12020222102 17171745860 24040444204 30050555255 60101110510 120202221020