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100212130010220 = 223511371592064611
BaseRepresentation
bin10110110010010001110100…
…011010010101010001101100
3111010211012000122100120121220
4112302101310122111101230
5101113333420240311340
6553044452245023340
730052042000365444
oct2662216432252154
9433735018316556
10100212130010220
1129a267a8958608
12b2a59476b4b50
1343bbc6a519c57
141aa6415cb5124
15b8bb32ae5ed0
hex5b247469546c

100212130010220 has 96 divisors (see below), whose sum is σ = 283116775011840. Its totient is φ = 26483033256960.

The previous prime is 100212130010189. The next prime is 100212130010221. The reversal of 100212130010220 is 22010031212001.

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 100212130010220.

It is not an unprimeable number, because it can be changed into a prime (100212130010221) 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, 47505715 + ... + 49570325.

It is an arithmetic number, because the mean of its divisors is an integer number (2949133073040).

Almost surely, 2100212130010220 is an apocalyptic number.

100212130010220 is a gapful number since it is divisible by the number (10) 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 100212130010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141558387505920).

100212130010220 is an abundant number, since it is smaller than the sum of its proper divisors (182904645001620).

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

100212130010220 is a wasteful number, since it uses less digits than its factorization.

100212130010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071895 (or 2071893 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100212130010220 its reverse (22010031212001), we get a palindrome (122222161222221).

The spelling of 100212130010220 in words is "one hundred trillion, two hundred twelve billion, one hundred thirty million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 7159 14318 21477 28636 35795 42954 71590 85908 107385 143180 214770 429540 808967 1617934 2064611 2426901 3235868 4044835 4129222 4853802 6193833 8089670 8258444 9707604 10323055 12134505 12387666 16179340 20646110 24269010 24775332 30969165 41292220 48538020 61938330 123876660 233301043 466602086 699903129 933204172 1166505215 1399806258 2333010430 2799612516 3499515645 4666020860 6999031290 13998062580 14780550149 29561100298 44341650447 59122200596 73902750745 88683300894 147805501490 177366601788 221708252235 295611002980 443416504470 886833008940 1670202166837 3340404333674 5010606500511 6680808667348 8351010834185 10021213001022 16702021668370 20042426002044 25053032502555 33404043336740 50106065005110 100212130010220