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20122101211110 = 2357338512385919
BaseRepresentation
bin1001001001101000010101…
…01100011101111111100110
32122020122122211102200220220
410210310022230131333212
510114140030402223420
6110443544330505210
74144526266134123
oct444641254357746
978218584380826
1020122101211110
11645880a608168
12230b96ab95206
13b2c6768c1292
144d7cb468774a
1524d64e542840
hex124d0ab1dfe6

20122101211110 has 64 divisors (see below), whose sum is σ = 48967324139520. Its totient is φ = 5291011756800.

The previous prime is 20122101211073. The next prime is 20122101211189. The reversal of 20122101211110 is 1111210122102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20122101211110.

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, 7240731 + ... + 9626649.

It is an arithmetic number, because the mean of its divisors is an integer number (765114439680).

Almost surely, 220122101211110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122101211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24483662069760).

20122101211110 is an abundant number, since it is smaller than the sum of its proper divisors (28845222928410).

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

20122101211110 is a wasteful number, since it uses less digits than its factorization.

20122101211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389853.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20122101211110 its reverse (1111210122102), we get a palindrome (21233311333212).

The spelling of 20122101211110 in words is "twenty trillion, one hundred twenty-two billion, one hundred one million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 2190 3851 7702 11553 19255 23106 38510 57765 115530 281123 562246 843369 1405615 1686738 2385919 2811230 4216845 4771838 7157757 8433690 11929595 14315514 23859190 35788785 71577570 174172087 348344174 522516261 870860435 1045032522 1741720870 2612581305 5225162610 9188174069 18376348138 27564522207 45940870345 55129044414 91881740690 137822611035 275645222070 670736707037 1341473414074 2012210121111 3353683535185 4024420242222 6707367070370 10061050605555 20122101211110