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1002202210120 = 235120749207497
BaseRepresentation
bin11101001010101111110…
…10000001111101001000
310112210212012021021211211
432211113322001331020
5112410002231210440
62044223315302504
7132256335141466
oct16452772017510
93483765237754
101002202210120
11357039024a61
121422975aaa34
13736795c2157
1436714adb836
151b109c6ceea
hexe957e81f48

1002202210120 has 32 divisors (see below), whose sum is σ = 2254984515000. Its totient is φ = 400875632128.

The previous prime is 1002202210099. The next prime is 1002202210123. The reversal of 1002202210120 is 210122022001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 921342737956 + 80859472164 = 959866^2 + 284358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1002202210120.

It is not an unprimeable number, because it can be changed into a prime (1002202210123) 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, 4726212 + ... + 4933708.

Almost surely, 21002202210120 is an apocalyptic number.

1002202210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002202210120 is an abundant number, since it is smaller than the sum of its proper divisors (1252782304880).

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

1002202210120 is a wasteful number, since it uses less digits than its factorization.

1002202210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328257 (or 328253 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002202210120 its reverse (210122022001), we get a palindrome (1212324232121).

The spelling of 1002202210120 in words is "one trillion, two billion, two hundred two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 120749 207497 241498 414994 482996 603745 829988 965992 1037485 1207490 1659976 2074970 2414980 4149940 4829960 8299880 25055055253 50110110506 100220221012 125275276265 200440442024 250550552530 501101105060 1002202210120