Search a number
-
+
202102223300120 = 235111361957080059
BaseRepresentation
bin101101111100111110010111…
…001110100110011000011000
3222111120210011102122121012002
4231330332113032212120120
5202442220323131100440
61553500251334340132
760366255332452613
oct5574762716463030
9874523142577162
10202102223300120
115943a087293550
121a8009217ba648
1388a0208b31890
1437c9b2a91917a
151857221577115
hexb7cf973a6618

202102223300120 has 128 divisors (see below), whose sum is σ = 535091314464000. Its totient is φ = 67728913620480.

The previous prime is 202102223300111. The next prime is 202102223300147. The reversal of 202102223300120 is 21003322201202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202102223300092 and 202102223300101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24999350 + ... + 32080709.

It is an arithmetic number, because the mean of its divisors is an integer number (4180400894250).

Almost surely, 2202102223300120 is an apocalyptic number.

202102223300120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102223300120 is an abundant number, since it is smaller than the sum of its proper divisors (332989091163880).

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

202102223300120 is a wasteful number, since it uses less digits than its factorization.

202102223300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57080713 (or 57080709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202102223300120 its reverse (21003322201202), we get a palindrome (223105545501322).

The spelling of 202102223300120 in words is "two hundred two trillion, one hundred two billion, two hundred twenty-three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 619 715 1144 1238 1430 2476 2860 3095 4952 5720 6190 6809 8047 12380 13618 16094 24760 27236 32188 34045 40235 54472 64376 68090 80470 88517 136180 160940 177034 272360 321880 354068 442585 708136 885170 1770340 3540680 57080059 114160118 228320236 285400295 456640472 570800590 627880649 742040767 1141601180 1255761298 1484081534 2283202360 2511522596 2968163068 3139403245 3710203835 5023045192 5936326136 6278806490 7420407670 8162448437 12557612980 14840815340 16324896874 25115225960 29681630680 32649793748 35332556521 40812242185 65299587496 70665113042 81624484370 141330226084 163248968740 176662782605 282660452168 326497937480 353325565210 388658121731 459323234773 706651130420 777316243462 918646469546 1413302260840 1554632486924 1837292939092 1943290608655 2296616173865 3109264973848 3674585878184 3886581217310 4593232347730 5052555582503 7773162434620 9186464695460 10105111165006 15546324869240 18372929390920 20210222330012 25262777912515 40420444660024 50525555825030 101051111650060 202102223300120