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2101211222130 = 2325374153151937
BaseRepresentation
bin11110100100111001111…
…100101101000001110010
321102212121000121122121200
4132210321330231001302
5233411240033102010
64245141052432030
7304543654461306
oct36447174550162
97385530548550
102101211222130
11740133a58009
1229b28b478616
131231b2c971a7
14739b0721d06
15399cd71ccc0
hex1e939f2d072

2101211222130 has 96 divisors (see below), whose sum is σ = 5612189819184. Its totient is φ = 545044267008.

The previous prime is 2101211222129. The next prime is 2101211222141. The reversal of 2101211222130 is 312221121012.

2101211222130 is a `hidden beast` number, since 2 + 101 + 211 + 222 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 295915328361 + 1805295893769 = 543981^2 + 1343613^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 13753522 + ... + 13905458.

Almost surely, 22101211222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101211222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806094909592).

2101211222130 is an abundant number, since it is smaller than the sum of its proper divisors (3510978597054).

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

2101211222130 is a wasteful number, since it uses less digits than its factorization.

2101211222130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156140 (or 156137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2101211222130 its reverse (312221121012), we get a palindrome (2413432343142).

The spelling of 2101211222130 in words is "two trillion, one hundred one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 4153 8306 12459 20765 24918 37377 41530 62295 74754 124590 151937 153661 186885 303874 307322 373770 455811 460983 759685 768305 911622 921966 1367433 1382949 1519370 1536610 2279055 2304915 2734866 2765898 4558110 4609830 5621669 6837165 6914745 11243338 13674330 13829490 16865007 28108345 33730014 50595021 56216690 84325035 101190042 168650070 252975105 505950210 630994361 1261988722 1892983083 3154971805 3785966166 5678949249 6309943610 9464915415 11357898498 18929830830 23346791357 28394746245 46693582714 56789492490 70040374071 116733956785 140080748142 210121122213 233467913570 350201870355 420242244426 700403740710 1050605611065 2101211222130