Search a number
-
+
202001232120 = 233537411109653
BaseRepresentation
bin1011110000100000110…
…1100011000011111000
3201022101210221210212120
42330020031203003320
511302144303411440
6232444215241240
720410531066662
oct2741015430370
9638353853776
10202001232120
117873947a546
1233195979220
1316082b082ac
149ac3bbb532
1553c3ecbdd0
hex2f083630f8

202001232120 has 128 divisors (see below), whose sum is σ = 637562802240. Its totient is φ = 51132764160.

The previous prime is 202001232101. The next prime is 202001232151. The reversal of 202001232120 is 21232100202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202001232120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372787 + ... + 736866.

Almost surely, 2202001232120 is an apocalyptic number.

202001232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001232120 is an abundant number, since it is smaller than the sum of its proper divisors (435561570120).

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

202001232120 is a wasteful number, since it uses less digits than its factorization.

202001232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109745 (or 1109741 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202001232120 its reverse (21232100202), we get a palindrome (223233332322).

The spelling of 202001232120 in words is "two hundred two billion, one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 41 60 74 82 111 120 123 148 164 185 205 222 246 296 328 370 410 444 492 555 615 740 820 888 984 1110 1230 1480 1517 1640 2220 2460 3034 4440 4551 4920 6068 7585 9102 12136 15170 18204 22755 30340 36408 45510 60680 91020 182040 1109653 2219306 3328959 4438612 5548265 6657918 8877224 11096530 13315836 16644795 22193060 26631672 33289590 41057161 44386120 45495773 66579180 82114322 90991546 123171483 133158360 136487319 164228644 181983092 205285805 227478865 246342966 272974638 328457288 363966184 410571610 454957730 492685932 545949276 615857415 682436595 821143220 909915460 985371864 1091898552 1231714830 1364873190 1642286440 1683343601 1819830920 2463429660 2729746380 3366687202 4926859320 5050030803 5459492760 6733374404 8416718005 10100061606 13466748808 16833436010 20200123212 25250154015 33666872020 40400246424 50500308030 67333744040 101000616060 202001232120