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780420102225 = 352127271463653
BaseRepresentation
bin10110101101101001010…
…10011011100001010001
32202121101211002212122120
423112310222123201101
5100241300021232400
61354304155124453
7110245352262651
oct13266452334121
92677354085576
10780420102225
11280a798907a5
12107301143729
135879363114a
1429ab5b98361
15154793aaca0
hexb5b4a9b851

780420102225 has 96 divisors (see below), whose sum is σ = 1310075387904. Its totient is φ = 409905619200.

The previous prime is 780420102223. The next prime is 780420102233. The reversal of 780420102225 is 522201024087.

780420102225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 780420102225 - 21 = 780420102223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (780420102221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1195129999 + ... + 1195130651.

It is an arithmetic number, because the mean of its divisors is an integer number (13646618624).

Almost surely, 2780420102225 is an apocalyptic number.

780420102225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

780420102225 is a deficient number, since it is larger than the sum of its proper divisors (529655285679).

780420102225 is a wasteful number, since it uses less digits than its factorization.

780420102225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 780420102225 in words is "seven hundred eighty billion, four hundred twenty million, one hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 127 271 381 463 635 653 813 1355 1389 1905 1959 2315 3175 3265 4065 6775 6945 9525 9795 11575 16325 20325 34417 34725 48975 58801 82931 103251 125473 172085 176403 176963 248793 294005 302339 376419 414655 516255 530889 627365 860425 882015 884815 907017 1243965 1470025 1511695 1882095 2073275 2581275 2654445 3136825 4410075 4424075 4535085 6219825 7558475 9410475 13272225 15935071 22474301 22675425 38397053 47805213 67422903 79675355 81933869 112371505 115191159 191985265 239026065 245801607 337114515 398376775 409669345 561857525 575955795 959926325 1195130325 1229008035 1685572575 2048346725 2879778975 6145040175 10405601363 31216804089 52028006815 156084020445 260140034075 780420102225