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202020020010100 = 225283113215396119
BaseRepresentation
bin101101111011110001110011…
…100001111011110001110100
3222111021220222112122210111001
4231323301303201323301310
5202434344000110310400
61553354414352453044
760360315265150135
oct5573616341736164
9874256875583431
10202020020010100
1159408233710026
121a7a89bbb4a184
1388955383b5a76
1437c5b6d2c7c8c
15185500e93ba6a
hexb7bc7387bc74

202020020010100 has 72 divisors (see below), whose sum is σ = 447591414191040. Its totient is φ = 79127917908480.

The previous prime is 202020020010091. The next prime is 202020020010113. The reversal of 202020020010100 is 1010020020202.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106760160 + ... + 108635959.

It is an arithmetic number, because the mean of its divisors is an integer number (6216547419320).

Almost surely, 2202020020010100 is an apocalyptic number.

202020020010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020020010100 is an abundant number, since it is smaller than the sum of its proper divisors (245571394180940).

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

202020020010100 is a wasteful number, since it uses less digits than its factorization.

202020020010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215396329 (or 215396322 counting only the distinct ones).

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

Adding to 202020020010100 its reverse (1010020020202), we get a palindrome (203030040030302).

The spelling of 202020020010100 in words is "two hundred two trillion, twenty billion, twenty million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 113 166 226 332 415 452 565 830 1130 1660 2075 2260 2825 4150 5650 8300 9379 11300 18758 37516 46895 93790 187580 234475 468950 937900 215396119 430792238 861584476 1076980595 2153961190 4307922380 5384902975 10769805950 17877877877 21539611900 24339761447 35755755754 48679522894 71511511508 89389389385 97359045788 121698807235 178778778770 243397614470 357557557540 446946946925 486795228940 608494036175 893893893850 1216988072350 1787787787700 2020200200101 2433976144700 4040400400202 8080800800404 10101001000505 20202002001010 40404004002020 50505005002525 101010010005050 202020020010100