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211010010102000 = 24325337316831847
BaseRepresentation
bin101111111110100110011000…
…101100100011100011110000
31000200010100201102001121100100
4233332212120230203203300
5210124142000041231000
62024440354352152400
762305653521126034
oct5776463054434360
91020110642047310
10211010010102000
116126392a75702a
121b7bb1a1538700
13909820a4c94c5
143a16d207cc1c4
15195dcc444ea00
hexbfe998b238f0

211010010102000 has 240 divisors, whose sum is σ = 756906215562432. Its totient is φ = 54748542988800.

The previous prime is 211010010101951. The next prime is 211010010102139. The reversal of 211010010102000 is 201010010112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2110100101020002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157749924 + ... + 159081923.

Almost surely, 2211010010102000 is an apocalyptic number.

211010010102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010010102000 is an abundant number, since it is smaller than the sum of its proper divisors (545896205460432).

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

211010010102000 is a wasteful number, since it uses less digits than its factorization.

211010010102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316831913 (or 316831894 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211010010102000 its reverse (201010010112), we get a palindrome (211211020112112).

The spelling of 211010010102000 in words is "two hundred eleven trillion, ten billion, ten million, one hundred two thousand".