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100020331220 = 2255001016561
BaseRepresentation
bin101110100100110101…
…1010010001011010100
3100120011120220021102212
41131021223102023110
53114320201044340
6113540530452552
710140411534125
oct1351153221324
9316146807385
10100020331220
1139466962267
1217474734158
13957caaa854
144baba3404c
152905e03a65
hex1749ad22d4

100020331220 has 12 divisors (see below), whose sum is σ = 210042695604. Its totient is φ = 40008132480.

The previous prime is 100020331199. The next prime is 100020331247. The reversal of 100020331220 is 22133020001.

It is a happy number.

100020331220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27464444176 + 72555887044 = 165724^2 + 269362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100020331195 and 100020331204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2500508261 + ... + 2500508300.

It is an arithmetic number, because the mean of its divisors is an integer number (17503557967).

Almost surely, 2100020331220 is an apocalyptic number.

100020331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020331220 is an abundant number, since it is smaller than the sum of its proper divisors (110022364384).

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

100020331220 is a wasteful number, since it uses less digits than its factorization.

100020331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001016570 (or 5001016568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100020331220 its reverse (22133020001), we get a palindrome (122153351221).

The spelling of 100020331220 in words is "one hundred billion, twenty million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5001016561 10002033122 20004066244 25005082805 50010165610 100020331220