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100021101220 = 2255001055061
BaseRepresentation
bin101110100100110111…
…0001110001010100100
3100120011122100101200101
41131021232032022210
53114320400214340
6113540555153444
710140421222045
oct1351156161244
9316148311611
10100021101220
1139467338827
1217474a45884
13957ccba181
144babb948cc
152906006c9a
hex1749b8e2a4

100021101220 has 12 divisors (see below), whose sum is σ = 210044312604. Its totient is φ = 40008440480.

The previous prime is 100021101211. The next prime is 100021101223. The reversal of 100021101220 is 22101120001.

It can be written as a sum of positive squares in 2 ways, for example, as 11507711076 + 88513390144 = 107274^2 + 297512^2 .

It is a super-2 number, since 2×1000211012202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100021101197 and 100021101206.

It is not an unprimeable number, because it can be changed into a prime (100021101223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2500527511 + ... + 2500527550.

It is an arithmetic number, because the mean of its divisors is an integer number (17503692717).

Almost surely, 2100021101220 is an apocalyptic number.

100021101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021101220 is an abundant number, since it is smaller than the sum of its proper divisors (110023211384).

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

100021101220 is a wasteful number, since it uses less digits than its factorization.

100021101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001055070 (or 5001055068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100021101220 its reverse (22101120001), we get a palindrome (122122221221).

The spelling of 100021101220 in words is "one hundred billion, twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5001055061 10002110122 20004220244 25005275305 50010550610 100021101220