Search a number
-
+
202121312013120 = 2635210543033347
BaseRepresentation
bin101101111101010000001001…
…000000010000101101000000
3222111122121102202102200200110
4231331100021000100231000
5202443023421333404440
61553513125431551320
760400532351031243
oct5575201100205500
9874577382380613
10202121312013120
1159447192381115
121a80456a52b540
1388a1c5b790526
1437caa1bb8725a
15185798c2d7080
hexb7d409010b40

202121312013120 has 56 divisors (see below), whose sum is σ = 641735165644704. Its totient is φ = 53899016536576.

The previous prime is 202121312013119. The next prime is 202121312013139. The reversal of 202121312013120 is 21310213121202.

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 7 ways as a sum of consecutive naturals, for example, 105271515714 + ... + 105271517633.

Almost surely, 2202121312013120 is an apocalyptic number.

202121312013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121312013120 is an abundant number, since it is smaller than the sum of its proper divisors (439613853631584).

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

202121312013120 is a wasteful number, since it uses less digits than its factorization.

202121312013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210543033367 (or 210543033357 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 202121312013120 its reverse (21310213121202), we get a palindrome (223431525134322).

The spelling of 202121312013120 in words is "two hundred two trillion, one hundred twenty-one billion, three hundred twelve million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 210543033347 421086066694 631629100041 842172133388 1052715166735 1263258200082 1684344266776 2105430333470 2526516400164 3158145500205 3368688533552 4210860666940 5053032800328 6316291000410 6737377067104 8421721333880 10106065600656 12632582000820 13474754134208 16843442667760 20212131201312 25265164001640 33686885335520 40424262402624 50530328003280 67373770671040 101060656006560 202121312013120