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20000120202100 = 22521011980209921
BaseRepresentation
bin1001000110000101001000…
…00011110110001101110100
32121210222210202122101221101
410203002210003312031310
510110140221232431400
6110311532310255444
74132650423514213
oct443024403661564
977728722571841
1020000120202100
1164110044a7715
1222b01a7957584
13b2100717b93c
144d20221cb07a
1524a3b06cb56a
hex1230a40f6374

20000120202100 has 36 divisors (see below), whose sum is σ = 43829966413548. Its totient is φ = 7920839680000.

The previous prime is 20000120202091. The next prime is 20000120202107. The reversal of 20000120202100 is 120202100002.

It can be written as a sum of positive squares in 6 ways, for example, as 515541232144 + 19484578969956 = 718012^2 + 4414134^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000120202107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 990094861 + ... + 990115060.

It is an arithmetic number, because the mean of its divisors is an integer number (1217499067043).

Almost surely, 220000120202100 is an apocalyptic number.

20000120202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000120202100 is an abundant number, since it is smaller than the sum of its proper divisors (23829846211448).

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

20000120202100 is a wasteful number, since it uses less digits than its factorization.

20000120202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980210036 (or 1980210029 counting only the distinct ones).

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

Adding to 20000120202100 its reverse (120202100002), we get a palindrome (20120322302102).

The spelling of 20000120202100 in words is "twenty trillion, one hundred twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 1980209921 3960419842 7920839684 9901049605 19802099210 39604198420 49505248025 99010496050 198020992100 200001202021 400002404042 800004808084 1000006010105 2000012020210 4000024040420 5000030050525 10000060101050 20000120202100