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210021100120 = 235131723758043
BaseRepresentation
bin1100001110011000111…
…0111010101001011000
3202002002201202022112201
43003212032322221120
511420110400200440
6240252105015544
721113342616226
oct3034616725130
9662081668481
10210021100120
1181084488027
12348537845b4
1316a604b6710
14a244d77b16
1556e30ee19a
hex30e63baa58

210021100120 has 64 divisors (see below), whose sum is σ = 538832437920. Its totient is φ = 72984705024.

The previous prime is 210021100067. The next prime is 210021100123. The reversal of 210021100120 is 21001120012.

210021100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 210021100097 and 210021100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11870182 + ... + 11887861.

Almost surely, 2210021100120 is an apocalyptic number.

210021100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021100120 is an abundant number, since it is smaller than the sum of its proper divisors (328811337800).

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

210021100120 is a wasteful number, since it uses less digits than its factorization.

210021100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23758084 (or 23758080 counting only the distinct ones).

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

Adding to 210021100120 its reverse (21001120012), we get a palindrome (231022220132).

The spelling of 210021100120 in words is "two hundred ten billion, twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 23758043 47516086 95032172 118790215 190064344 237580430 308854559 403886731 475160860 617709118 807773462 950321720 1235418236 1544272795 1615546924 2019433655 2470836472 3088545590 3231093848 4038867310 5250527503 6177091180 8077734620 10501055006 12354182360 16155469240 21002110012 26252637515 42004220024 52505275030 105010550060 210021100120