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100202221120 = 265521601021
BaseRepresentation
bin101110101010010000…
…1001000111001000000
3100120122021011020110211
41131110201020321000
53120203232033440
6114010545203504
710145050553311
oct1352441107100
9316567136424
10100202221120
113954a5a58a1
1217505630594
1395ab693a01
144bc7c60608
152916d81eea
hex1754848e40

100202221120 has 56 divisors (see below), whose sum is σ = 239064914808. Its totient is φ = 40003891200.

The previous prime is 100202221111. The next prime is 100202221121. The reversal of 100202221120 is 21122202001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6669008896 + 93533212224 = 81664^2 + 305832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100202221120.

It is not an unprimeable number, because it can be changed into a prime (100202221121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133791 + ... + 467230.

Almost surely, 2100202221120 is an apocalyptic number.

100202221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202221120 is an abundant number, since it is smaller than the sum of its proper divisors (138862693688).

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

100202221120 is an equidigital number, since it uses as much as digits as its factorization.

100202221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601559 (or 601549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100202221120 its reverse (21122202001), we get a palindrome (121324423121).

The spelling of 100202221120 in words is "one hundred billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 521 1042 2084 2605 4168 5210 8336 10420 16672 20840 33344 41680 83360 166720 601021 1202042 2404084 3005105 4808168 6010210 9616336 12020420 19232672 24040840 38465344 48081680 96163360 192326720 313131941 626263882 1252527764 1565659705 2505055528 3131319410 5010111056 6262638820 10020222112 12525277640 20040444224 25050555280 50101110560 100202221120