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2101000212 = 2232971075623
BaseRepresentation
bin111110100111010…
…1011100000010100
312102102101212110200
41331032223200110
513300324001322
6544251420500
7103031131023
oct17516534024
95372355420
102101000212
11988a61613
124a7754730
1327637b1bc
1415d06a8ba
15c46b38ac
hex7d3ab814

2101000212 has 72 divisors (see below), whose sum is σ = 5416721856. Its totient is φ = 686513664.

The previous prime is 2101000211. The next prime is 2101000229. The reversal of 2101000212 is 2120001012.

2101000212 is digitally balanced in base 4, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 2101000194 and 2101000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101000211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370833 + ... + 376455.

It is an arithmetic number, because the mean of its divisors is an integer number (75232248).

Almost surely, 22101000212 is an apocalyptic number.

It is an amenable number.

2101000212 is an abundant number, since it is smaller than the sum of its proper divisors (3315721644).

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

2101000212 is a wasteful number, since it uses less digits than its factorization.

2101000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5837 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2101000212 is about 45836.6688580224. The cubic root of 2101000212 is about 1280.7824423445.

Adding to 2101000212 its reverse (2120001012), we get a palindrome (4221001224).

The spelling of 2101000212 in words is "two billion, one hundred one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 97 107 194 214 291 321 388 428 582 642 873 963 1164 1284 1746 1926 3492 3852 5623 10379 11246 16869 20758 22492 31137 33738 41516 50607 62274 67476 93411 101214 124548 186822 202428 373644 545431 601661 1090862 1203322 1636293 1804983 2181724 2406644 3272586 3609966 4908879 5414949 6545172 7219932 9817758 10829898 19635516 21659796 58361117 116722234 175083351 233444468 350166702 525250053 700333404 1050500106 2101000212