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2102122021220 = 225138397919949
BaseRepresentation
bin11110100101110000001…
…111001000000101100100
321102221221111110001002022
4132211300033020011210
5233420121214134340
64245411310202312
7304605354235244
oct36456017100544
97387844401068
102102122021220
11740561095931
1229b4a44b3398
131232c98a2070
1473a5968db24
1539a3367e3b5
hex1e9703c8164

2102122021220 has 96 divisors (see below), whose sum is σ = 4812282316800. Its totient is φ = 766661322240.

The previous prime is 2102122021199. The next prime is 2102122021229. The reversal of 2102122021220 is 221202212012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2102122021229) 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, 211284806 + ... + 211294754.

It is an arithmetic number, because the mean of its divisors is an integer number (50127940800).

Almost surely, 22102122021220 is an apocalyptic number.

2102122021220 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 2102122021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406141158400).

2102122021220 is an abundant number, since it is smaller than the sum of its proper divisors (2710160295580).

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

2102122021220 is a wasteful number, since it uses less digits than its factorization.

2102122021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19845 (or 19843 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2102122021220 its reverse (221202212012), we get a palindrome (2323324233232).

The spelling of 2102122021220 in words is "two trillion, one hundred two billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 4316 5395 9791 9949 10790 19582 19898 21580 39164 39796 48955 49745 97910 99490 127283 129337 195820 198980 254566 258674 509132 517348 636415 646685 812653 825767 1272830 1293370 1625306 1651534 2545660 2586740 3250612 3303068 4063265 4128835 8126530 8257670 10564489 10734971 16253060 16515340 21128978 21469942 42257956 42939884 52822445 53674855 97410659 105644890 107349710 194821318 211289780 214699420 389642636 487053295 974106590 1266338567 1948213180 2532677134 5065354268 6331692835 8085084697 12663385670 16170169394 25326771340 32340338788 40425423485 80850846970 105106101061 161701693940 210212202122 420424404244 525530505305 1051061010610 2102122021220