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100212110202020 = 22519787335090317
BaseRepresentation
bin10110110010010001110011…
…001110110001010010100100
3111010211011222021002012212212
4112302101303032301102210
5101113333400202431040
6553044450300302552
730052041340125545
oct2662216316612244
9433734867065785
10100212110202020
1129a267987593a3
12b2a5940b41a58
1343bbc663a2c1b
141aa64133da4cc
15b8bb30ed1d65
hex5b24733b14a4

100212110202020 has 48 divisors (see below), whose sum is σ = 221802983290560. Its totient is φ = 37926862326144.

The previous prime is 100212110201993. The next prime is 100212110202037. The reversal of 100212110202020 is 20202011212001.

It is a super-2 number, since 2×1002121102020202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100212110201986 and 100212110202004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167246099 + ... + 167844218.

It is an arithmetic number, because the mean of its divisors is an integer number (4620895485220).

Almost surely, 2100212110202020 is an apocalyptic number.

100212110202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212110202020 is an abundant number, since it is smaller than the sum of its proper divisors (121590873088540).

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

100212110202020 is a wasteful number, since it uses less digits than its factorization.

100212110202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335091132 (or 335091130 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212110202020 its reverse (20202011212001), we get a palindrome (120414121414021).

The spelling of 100212110202020 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 787 1574 3148 3935 7870 14953 15740 29906 59812 74765 149530 299060 335090317 670180634 1340361268 1675451585 3350903170 6366716023 6701806340 12733432046 25466864092 31833580115 63667160230 127334320460 263716079479 527432158958 1054864317916 1318580397395 2637160794790 5010605510101 5274321589580 10021211020202 20042422040404 25053027550505 50106055101010 100212110202020