Search a number
-
+
202101202110120 = 233544912479300581
BaseRepresentation
bin101101111100111101011010…
…010111000100011010101000
3222111120200112021002202212020
4231330331122113010122220
5202442211230220010440
61553500002134544440
760366221122465365
oct5574753227043250
9874520467082766
10202101202110120
1159439702907375
121a800697808120
1388a00a53b5741
1437c9a7105346c
1518571b1aac3d0
hexb7cf5a5c46a8

202101202110120 has 128 divisors (see below), whose sum is σ = 607704664320000. Its totient is φ = 53769135472640.

The previous prime is 202101202110091. The next prime is 202101202110133. The reversal of 202101202110120 is 21011202101202.

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 202101202110120.

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, 672218230 + ... + 672518810.

It is an arithmetic number, because the mean of its divisors is an integer number (4747692690000).

Almost surely, 2202101202110120 is an apocalyptic number.

202101202110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101202110120 is an abundant number, since it is smaller than the sum of its proper divisors (405603462209880).

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

202101202110120 is a wasteful number, since it uses less digits than its factorization.

202101202110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313523 (or 313519 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202101202110120 its reverse (21011202101202), we get a palindrome (223112404211322).

The spelling of 202101202110120 in words is "two hundred two trillion, one hundred one billion, two hundred two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 449 898 1347 1796 2245 2694 3592 4490 5388 6735 8980 10776 12479 13470 17960 24958 26940 37437 49916 53880 62395 74874 99832 124790 149748 187185 249580 299496 300581 374370 499160 601162 748740 901743 1202324 1497480 1502905 1803486 2404648 3005810 3606972 4508715 5603071 6011620 7213944 9017430 11206142 12023240 16809213 18034860 22412284 28015355 33618426 36069720 44824568 56030710 67236852 84046065 112061420 134473704 134960869 168092130 224122840 269921738 336184260 404882607 539843476 672368520 674804345 809765214 1079686952 1349608690 1619530428 2024413035 2699217380 3239060856 3750950299 4048826070 5398434760 7501900598 8097652140 11252850897 15003801196 16195304280 18754751495 22505701794 30007602392 37509502990 45011403588 56264254485 75019005980 90022807176 112528508970 150038011960 225057017940 450114035880 1684176684251 3368353368502 5052530052753 6736706737004 8420883421255 10105060105506 13473413474008 16841766842510 20210120211012 25262650263765 33683533685020 40420240422024 50525300527530 67367067370040 101050601055060 202101202110120