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211010000020120 = 23571744329831937
BaseRepresentation
bin101111111110100110011000…
…000110000110001010011000
31000200010100200201002101121101
4233332212120012012022120
5210124141440001120440
62024440353352121144
762305653336335560
oct5776463006061230
91020110621071541
10211010000020120
1161263924aa03a4
121b7bb19a0961b4
1390982083a95b2
143a16d1d325da0
15195dcc360c69a
hexbfe998186298

211010000020120 has 64 divisors (see below), whose sum is σ = 574514621916480. Its totient is φ = 68090621853696.

The previous prime is 211010000020097. The next prime is 211010000020121. The reversal of 211010000020120 is 21020000010112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211010000020097 and 211010000020106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010000020121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22164911209 + ... + 22164920728.

It is an arithmetic number, because the mean of its divisors is an integer number (8976790967445).

Almost surely, 2211010000020120 is an apocalyptic number.

211010000020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010000020120 is an abundant number, since it is smaller than the sum of its proper divisors (363504621896360).

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

211010000020120 is a wasteful number, since it uses less digits than its factorization.

211010000020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44329831972 (or 44329831968 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211010000020120 its reverse (21020000010112), we get a palindrome (232030000030232).

The spelling of 211010000020120 in words is "two hundred eleven trillion, ten billion, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 44329831937 88659663874 177319327748 221649159685 310308823559 354638655496 443298319370 620617647118 753607142929 886596638740 1241235294236 1507214285858 1551544117795 1773193277480 2482470588472 3014428571716 3103088235590 3768035714645 5275250000503 6028857143432 6206176471180 7536071429290 10550500001006 12412352942360 15072142858580 21101000002012 26376250002515 30144285717160 42202000004024 52752500005030 105505000010060 211010000020120