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202012202101120 = 275535955548411
BaseRepresentation
bin101101111011101010100001…
…100010111110100110000000
3222111021011210200212212111121
4231323222201202332212000
5202434231442214213440
61553351042515522024
760356620455054445
oct5573524142764600
9874234720785447
10202012202101120
1159404991703324
121a7a73998b9314
1388948907c9518
1437c562ac9d9cc
151854c0340e34a
hexb7baa18be980

202012202101120 has 64 divisors (see below), whose sum is σ = 492047409799440. Its totient is φ = 79280260433920.

The previous prime is 202012202101091. The next prime is 202012202101121. The reversal of 202012202101120 is 21101202210202.

It is a happy number.

202012202101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202012202101094 and 202012202101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012202101121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2977740286 + ... + 2977808125.

Almost surely, 2202012202101120 is an apocalyptic number.

202012202101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012202101120 is an abundant number, since it is smaller than the sum of its proper divisors (290035207698320).

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

202012202101120 is an equidigital number, since it uses as much as digits as its factorization.

202012202101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955548483 (or 5955548471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202012202101120 its reverse (21101202210202), we get a palindrome (223113404311322).

The spelling of 202012202101120 in words is "two hundred two trillion, twelve billion, two hundred two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1060 1696 2120 3392 4240 6784 8480 16960 33920 5955548411 11911096822 23822193644 29777742055 47644387288 59555484110 95288774576 119110968220 190577549152 238221936440 315644065783 381155098304 476443872880 631288131566 762310196608 952887745760 1262576263132 1578220328915 1905775491520 2525152526264 3156440657830 3811550983040 5050305052528 6312881315660 10100610105056 12625762631320 20201220210112 25251525262640 40402440420224 50503050525280 101006101050560 202012202101120