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2102000211220 = 2257136311830341
BaseRepresentation
bin11110100101101000111…
…110011101010100010100
321102221122000020110011211
4132211220332131110110
5233414344023224340
64245351235311204
7304602344665120
oct36455076352424
97387560213154
102102000211220
117404a9358208
1229b46b74b504
131232aa593340
1473a47422580
1539a27b1c5ea
hex1e968f9d514

2102000211220 has 96 divisors (see below), whose sum is σ = 5441474981376. Its totient is φ = 664193779200.

The previous prime is 2102000211217. The next prime is 2102000211239. The reversal of 2102000211220 is 221120002012.

It is a happy number.

It is a super-2 number, since 2×21020002112202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2102000211220.

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, 233250 + ... + 2063590.

It is an arithmetic number, because the mean of its divisors is an integer number (56682031056).

Almost surely, 22102000211220 is an apocalyptic number.

2102000211220 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 2102000211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720737490688).

2102000211220 is an abundant number, since it is smaller than the sum of its proper divisors (3339474770156).

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

2102000211220 is a wasteful number, since it uses less digits than its factorization.

2102000211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831001 (or 1830999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2102000211220 its reverse (221120002012), we get a palindrome (2323120213232).

The spelling of 2102000211220 in words is "two trillion, one hundred two billion, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 631 910 1262 1820 2524 3155 4417 6310 8203 8834 12620 16406 17668 22085 32812 41015 44170 57421 82030 88340 114842 164060 229684 287105 574210 1148420 1830341 3660682 7321364 9151705 12812387 18303410 23794433 25624774 36606820 47588866 51249548 64061935 95177732 118972165 128123870 166561031 237944330 256247740 333122062 475888660 666244124 832805155 1154945171 1665610310 2309890342 3331220620 4619780684 5774725855 8084616197 11549451710 15014287223 16169232394 23098903420 30028574446 32338464788 40423080985 60057148892 75071436115 80846161970 105100010561 150142872230 161692323940 210200021122 300285744460 420400042244 525500052805 1051000105610 2102000211220