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2102110120212 = 22319731034312211
BaseRepresentation
bin11110100101101111100…
…001101110100100010100
321102221220200001101222020
4132211233201232210110
5233420110142321322
64245410203133140
7304605151130364
oct36455741564424
97387820041866
102102110120212
117405553a7493
1229b4a05141b0
131232c729614b
1473a57c729a4
1539a325cd05c
hex1e96f86e914

2102110120212 has 96 divisors (see below), whose sum is σ = 5234739256320. Its totient is φ = 654613850880.

The previous prime is 2102110120189. The next prime is 2102110120217. The reversal of 2102110120212 is 2120210112012.

It is a junction number, because it is equal to n+sod(n) for n = 2102110120191 and 2102110120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102110120217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172142787 + ... + 172154997.

It is an arithmetic number, because the mean of its divisors is an integer number (54528533920).

Almost surely, 22102110120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102110120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617369628160).

2102110120212 is an abundant number, since it is smaller than the sum of its proper divisors (3132629136108).

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

2102110120212 is a wasteful number, since it uses less digits than its factorization.

2102110120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22653 (or 22651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2102110120212 its reverse (2120210112012), we get a palindrome (4222320232224).

The spelling of 2102110120212 in words is "two trillion, one hundred two billion, one hundred ten million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 219 228 292 438 876 1387 2774 4161 5548 8322 10343 12211 16644 20686 24422 31029 36633 41372 48844 62058 73266 124116 146532 196517 232009 393034 464018 589551 696027 755039 786068 891403 928036 1179102 1392054 1510078 1782806 2265117 2358204 2674209 2784108 3020156 3565612 4530234 5348418 9060468 10696836 14345741 16936657 28691482 33873314 43037223 50809971 57382964 67746628 86074446 101619942 126298373 172148892 203239884 252596746 378895119 505193492 757790238 1515580476 2399669087 4799338174 7199007261 9219781229 9598676348 14398014522 18439562458 27659343687 28796029044 36879124916 55318687374 110637374748 175175843351 350351686702 525527530053 700703373404 1051055060106 2102110120212