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202104003402 = 232721087210803
BaseRepresentation
bin1011110000111001010…
…1100101101101001010
3201022122222100010120100
42330032111211231022
511302402111102102
6232502330110230
720413216453500
oct2741625455512
9638588303510
10202104003402
1178791494094
123320427b376
131609b1ac2c2
149ad36d0670
1553cd02ca1c
hex2f0e565b4a

202104003402 has 72 divisors (see below), whose sum is σ = 509855613696. Its totient is φ = 57690604944.

The previous prime is 202104003377. The next prime is 202104003407. The reversal of 202104003402 is 204300401202.

202104003402 is a `hidden beast` number, since 20 + 210 + 400 + 34 + 0 + 2 = 666.

It is a super-2 number, since 2×2021040034022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202104003407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 853333 + ... + 1064135.

It is an arithmetic number, because the mean of its divisors is an integer number (7081327968).

Almost surely, 2202104003402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202104003402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254927806848).

202104003402 is an abundant number, since it is smaller than the sum of its proper divisors (307751610294).

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

202104003402 is a wasteful number, since it uses less digits than its factorization.

202104003402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211912 (or 211902 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202104003402 its reverse (204300401202), we get a palindrome (406404404604).

The spelling of 202104003402 in words is "two hundred two billion, one hundred four million, three thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1087 2174 3261 6522 7609 9783 15218 19566 22827 45654 53263 68481 106526 136962 159789 210803 319578 421606 479367 632409 958734 1264818 1475621 1897227 2951242 3794454 4426863 8853726 10329347 13280589 20658694 26561178 30988041 61976082 92964123 185928246 229142861 458285722 687428583 1374857166 1604000027 2062285749 3208000054 4124571498 4812000081 9624000162 11228000189 14436000243 22456000378 28872000486 33684000567 67368001134 101052001701 202104003402