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210112000120 = 23511552786399
BaseRepresentation
bin1100001110101110100…
…1101011000001111000
3202002100001210111220101
43003223221223001320
511420302133000440
6240305113205144
721115525350631
oct3035351530170
9662301714811
10210112000120
11811208235a0
123487a1007b4
1316a762921b9
14a25307a888
1556eb0a769a
hex30eba6b078

210112000120 has 64 divisors (see below), whose sum is σ = 515828736000. Its totient is φ = 76389655680.

The previous prime is 210112000039. The next prime is 210112000139. The reversal of 210112000120 is 21000211012.

210112000120 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 = 210112000097 and 210112000106.

It is a congruent number.

It is an unprimeable number.

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, 2388681 + ... + 2475079.

It is an arithmetic number, because the mean of its divisors is an integer number (8059824000).

Almost surely, 2210112000120 is an apocalyptic number.

210112000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210112000120 is an abundant number, since it is smaller than the sum of its proper divisors (305716735880).

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

210112000120 is a wasteful number, since it uses less digits than its factorization.

210112000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91948 (or 91944 counting only the distinct ones).

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

Adding to 210112000120 its reverse (21000211012), we get a palindrome (231112211132).

The spelling of 210112000120 in words is "two hundred ten billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5527 11054 22108 27635 44216 55270 60797 86399 110540 121594 172798 221080 243188 303985 345596 431995 486376 607970 691192 863990 950389 1215940 1727980 1900778 2431880 3455960 3801556 4751945 7603112 9503890 19007780 38015560 477527273 955054546 1910109092 2387636365 3820218184 4775272730 5252800003 9550545460 10505600006 19101090920 21011200012 26264000015 42022400024 52528000030 105056000060 210112000120