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100220000020 = 2257612192383
BaseRepresentation
bin101110101010110010…
…0111101011100010100
3100120200111121111112121
41131111210331130110
53120222310000040
6114012422225324
710145354641660
oct1352544753424
9316614544477
10100220000020
11395596393a8
121750b585244
1395b227a17a
144bca36b8a0
1529186e4c4a
hex175593d714

100220000020 has 72 divisors (see below), whose sum is σ = 244536993792. Its totient is φ = 33797669760.

The previous prime is 100220000009. The next prime is 100220000033. The reversal of 100220000020 is 20000022001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100219999958 and 100220000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424749 + ... + 617131.

It is an arithmetic number, because the mean of its divisors is an integer number (3396347136).

Almost surely, 2100220000020 is an apocalyptic number.

100220000020 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 100220000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122268496896).

100220000020 is an abundant number, since it is smaller than the sum of its proper divisors (144316993772).

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

100220000020 is a wasteful number, since it uses less digits than its factorization.

100220000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192521 (or 192458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 100220000020 its reverse (20000022001), we get a palindrome (120220022021).

The spelling of 100220000020 in words is "one hundred billion, two hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 3721 4270 7442 8540 14884 18605 26047 37210 52094 74420 104188 130235 192383 260470 384766 520940 769532 961915 1346681 1923830 2693362 3847660 5386724 6733405 11735363 13466810 23470726 26933620 46941452 58676815 82147541 117353630 164295082 234707260 328590164 410737705 715857143 821475410 1431714286 1642950820 2863428572 3579285715 5011000001 7158571430 10022000002 14317142860 20044000004 25055000005 50110000010 100220000020