Search a number
-
+
202121010122100 = 223523722381655157
BaseRepresentation
bin101101111101001111110111…
…000000101000110101110100
3222111122120122201101001001120
4231331033313000220311310
5202443022312042401400
61553513035445223540
760400522024014426
oct5575176700506564
9874576581331046
10202121010122100
1159447047a25a03
121a8044a5401bb0
1388a1c1107caa4
1437ca9cda40816
151857970a52ca0
hexb7d3f7028d74

202121010122100 has 144 divisors (see below), whose sum is σ = 603302275849728. Its totient is φ = 52207040540160.

The previous prime is 202121010122089. The next prime is 202121010122117. The reversal of 202121010122100 is 1221010121202.

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 202121010122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38352279 + ... + 43302878.

Almost surely, 2202121010122100 is an apocalyptic number.

202121010122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121010122100 is an abundant number, since it is smaller than the sum of its proper divisors (401181265727628).

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

202121010122100 is a wasteful number, since it uses less digits than its factorization.

202121010122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81655434 (or 81655427 counting only the distinct ones).

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

Adding to 202121010122100 its reverse (1221010121202), we get a palindrome (203342020243302).

The spelling of 202121010122100 in words is "two hundred two trillion, one hundred twenty-one billion, ten million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 223 300 370 444 446 555 669 740 892 925 1110 1115 1338 1850 2220 2230 2676 2775 3345 3700 4460 5550 5575 6690 8251 11100 11150 13380 16502 16725 22300 24753 33004 33450 41255 49506 66900 82510 99012 123765 165020 206275 247530 412550 495060 618825 825100 1237650 2475300 81655157 163310314 244965471 326620628 408275785 489930942 816551570 979861884 1224827355 1633103140 2041378925 2449654710 3021240809 4082757850 4899309420 6042481618 6124136775 8165515700 9063722427 12084963236 12248273550 15106204045 18127444854 18209100011 24496547100 30212408090 36254889708 36418200022 45318612135 54627300033 60424816180 72836400044 75531020225 90637224270 91045500055 109254600066 151062040450 181274448540 182091000110 218509200132 226593060675 273136500165 302124080900 364182000220 453186121350 455227500275 546273000330 673736700407 906372242700 910455000550 1092546000660 1347473400814 1365682500825 1820910001100 2021210101221 2694946801628 2731365001650 3368683502035 4042420202442 5462730003300 6737367004070 8084840404884 10106050506105 13474734008140 16843417510175 20212101012210 33686835020350 40424202024420 50530252530525 67373670040700 101060505061050 202121010122100