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100022102020 = 22517319489763
BaseRepresentation
bin101110100100111001…
…0000010100000000100
3100120011201020020112001
41131021302002200010
53114321124231040
6113541032435044
710140432560611
oct1351162024004
9316151206461
10100022102020
1139467961735
1217475248a84
13958027a869
144babd75508
15290615359a
hex1749c82804

100022102020 has 48 divisors (see below), whose sum is σ = 229576370688. Its totient is φ = 36440686080.

The previous prime is 100022101997. The next prime is 100022102023. The reversal of 100022102020 is 20201220001.

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 = 100022101988 and 100022102006.

It is not an unprimeable number, because it can be changed into a prime (100022102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4734342 + ... + 4755421.

It is an arithmetic number, because the mean of its divisors is an integer number (4782841056).

Almost surely, 2100022102020 is an apocalyptic number.

100022102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022102020 is an abundant number, since it is smaller than the sum of its proper divisors (129554268668).

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

100022102020 is a wasteful number, since it uses less digits than its factorization.

100022102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489820 (or 9489818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100022102020 its reverse (20201220001), we get a palindrome (120223322021).

The spelling of 100022102020 in words is "one hundred billion, twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 9489763 18979526 37959052 47448815 94897630 161325971 189795260 294182653 322651942 588365306 645303884 806629855 1176730612 1470913265 1613259710 2941826530 3226519420 5001105101 5883653060 10002210202 20004420404 25005525505 50011051010 100022102020