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210112101012 = 2231111338336779
BaseRepresentation
bin1100001110101110101…
…0000011101010010100
3202002100001222122022010
43003223222003222110
511420302144213022
6240305115304220
721115526251032
oct3035352035224
9662301878263
10210112101012
1181120892380
123487a14b070
1316a762c90b8
14a2530a5552
1556eb0c750c
hex30eba83a94

210112101012 has 96 divisors (see below), whose sum is σ = 540987310080. Its totient is φ = 62940398080.

The previous prime is 210112100993. The next prime is 210112101037. The reversal of 210112101012 is 210101211012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5694439 + ... + 5731217.

It is an arithmetic number, because the mean of its divisors is an integer number (5635284480).

Almost surely, 2210112101012 is an apocalyptic number.

210112101012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210112101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270493655040).

210112101012 is an abundant number, since it is smaller than the sum of its proper divisors (330875209068).

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

210112101012 is a wasteful number, since it uses less digits than its factorization.

210112101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37293 (or 37291 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210112101012 its reverse (210101211012), we get a palindrome (420213312024).

Subtracting from 210112101012 its reverse (210101211012), we obtain a square (10890000 = 33002).

The spelling of 210112101012 in words is "two hundred ten billion, one hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 383 452 678 766 1149 1243 1356 1532 2298 2486 3729 4213 4596 4972 7458 8426 12639 14916 16852 25278 36779 43279 50556 73558 86558 110337 129837 147116 173116 220674 259674 404569 441348 476069 519348 809138 952138 1213707 1428207 1618276 1904276 2427414 2856414 4156027 4854828 5712828 8312054 12468081 14086357 16624108 24936162 28172714 42259071 45716297 49872324 56345428 84518142 91432594 137148891 154949927 169036284 182865188 274297782 309899854 464849781 548595564 619799708 929699562 1591758341 1859399124 3183516682 4775275023 6367033364 9550550046 17509341751 19101100092 35018683502 52528025253 70037367004 105056050506 210112101012