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2130122102020 = 22511194911037879
BaseRepresentation
bin11110111111110101001…
…010111101010100000100
321112122012212112112001221
4132333311022331110010
5234344442224231040
64310321541130124
7306616261060003
oct36776512752404
97478185475057
102130122102020
1175141a437a80
122a49b96b9944
13125b3c81a803
1475154260c3a
153a62190e74a
hex1eff52bd504

2130122102020 has 96 divisors (see below), whose sum is σ = 5147220556800. Its totient is φ = 732326716800.

The previous prime is 2130122101993. The next prime is 2130122102027. The reversal of 2130122102020 is 202012210312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2130122101985 and 2130122102003.

It is not an unprimeable number, because it can be changed into a prime (2130122102027) 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, 1533441 + ... + 2571319.

It is an arithmetic number, because the mean of its divisors is an integer number (53616880800).

Almost surely, 22130122102020 is an apocalyptic number.

2130122102020 is a gapful number since it is divisible by the number (20) 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 2130122102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573610278400).

2130122102020 is an abundant number, since it is smaller than the sum of its proper divisors (3017098454780).

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

2130122102020 is a wasteful number, since it uses less digits than its factorization.

2130122102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038409 (or 1038407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2130122102020 its reverse (202012210312), we get a palindrome (2332134312332).

The spelling of 2130122102020 in words is "two trillion, one hundred thirty billion, one hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 491 836 982 1045 1964 2090 2455 4180 4910 5401 9329 9820 10802 18658 21604 27005 37316 46645 54010 93290 102619 108020 186580 205238 410476 513095 1026190 1037879 2052380 2075758 4151516 5189395 10378790 11416669 19719701 20757580 22833338 39439402 45666676 57083345 78878804 98598505 114166690 197197010 216916711 228333380 394394020 433833422 509598589 867666844 1019197178 1084583555 2038394356 2169167110 2547992945 4338334220 5095985890 5605584479 9682373191 10191971780 11211168958 19364746382 22422337916 28027922395 38729492764 48411865955 56055844790 96823731910 106506105101 112111689580 193647463820 213012210202 426024420404 532530525505 1065061051010 2130122102020