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10020022202120 = 235797368925707
BaseRepresentation
bin1001000111001111011111…
…0111010010111100001000
31022110220102120112111122212
42101303313313102330020
52303132001140431440
633151045030204252
72052631330301360
oct221636767227410
938426376474585
1010020022202120
1132135163478a7
121159b451b3688
13578b653079b8
14268d863539a0
1512599cae7465
hex91cf7dd2f08

10020022202120 has 64 divisors (see below), whose sum is σ = 26031397956480. Its totient is φ = 3400019306496.

The previous prime is 10020022202117. The next prime is 10020022202123. The reversal of 10020022202120 is 2120222002001.

It is an interprime number because it is at equal distance from previous prime (10020022202117) and next prime (10020022202123).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10020022202095 and 10020022202104.

It is not an unprimeable number, because it can be changed into a prime (10020022202123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184435694 + ... + 184490013.

It is an arithmetic number, because the mean of its divisors is an integer number (406740593070).

Almost surely, 210020022202120 is an apocalyptic number.

10020022202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020022202120 is an abundant number, since it is smaller than the sum of its proper divisors (16011375754360).

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

10020022202120 is a wasteful number, since it uses less digits than its factorization.

10020022202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368925822 (or 368925818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10020022202120 its reverse (2120222002001), we get a palindrome (12140244204121).

The spelling of 10020022202120 in words is "ten trillion, twenty billion, twenty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 679 776 970 1358 1940 2716 3395 3880 5432 6790 13580 27160 368925707 737851414 1475702828 1844628535 2582479949 2951405656 3689257070 5164959898 7378514140 10329919796 12912399745 14757028280 20659839592 25824799490 35785793579 51649598980 71571587158 103299197960 143143174316 178928967895 250500555053 286286348632 357857935790 501001110106 715715871580 1002002220212 1252502775265 1431431743160 2004004440424 2505005550530 5010011101060 10020022202120