Search a number
-
+
202330330200120 = 23354877934565819
BaseRepresentation
bin101110000000010010110011…
…011101010111100000111000
3222112101120221121000202001210
4232000102303131113200320
5203004440004012400440
61554153134233043120
760421612125224523
oct5600226335274070
9875346847022053
10202330330200120
11595178a1725721
121a838b822564a0
1388b888c259b15
1437d6ba9855bba
15185d12232ba80
hexb804b3757838

202330330200120 has 64 divisors (see below), whose sum is σ = 607003451856000. Its totient is φ = 53953647052928.

The previous prime is 202330330200113. The next prime is 202330330200151. The reversal of 202330330200120 is 21002033033202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11429430 + ... + 23136389.

It is an arithmetic number, because the mean of its divisors is an integer number (9484428935250).

Almost surely, 2202330330200120 is an apocalyptic number.

202330330200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202330330200120 is an abundant number, since it is smaller than the sum of its proper divisors (404673121655880).

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

202330330200120 is a wasteful number, since it uses less digits than its factorization.

202330330200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34614612 (or 34614608 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 202330330200120 its reverse (21002033033202), we get a palindrome (223332363233322).

The spelling of 202330330200120 in words is "two hundred two trillion, three hundred thirty billion, three hundred thirty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 48779 97558 146337 195116 243895 292674 390232 487790 585348 731685 975580 1170696 1463370 1951160 2926740 5853480 34565819 69131638 103697457 138263276 172829095 207394914 276526552 345658190 414789828 518487285 691316380 829579656 1036974570 1382632760 2073949140 4147898280 1686086085001 3372172170002 5058258255003 6744344340004 8430430425005 10116516510006 13488688680008 16860860850010 20233033020012 25291291275015 33721721700020 40466066040024 50582582550030 67443443400040 101165165100060 202330330200120