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212013311100 = 223522401929423
BaseRepresentation
bin1100010101110011111…
…0100110010001111100
3202021020120110010020120
43011130332212101330
511433200401423400
6241221513014540
721213613260423
oct3053476462174
9667216403216
10212013311100
1181a06a94688
123510a9b4450
1316cba164696
14a3937a62ba
1557ace73ca0
hex315cfa647c

212013311100 has 72 divisors (see below), whose sum is σ = 613471568640. Its totient is φ = 56532607680.

The previous prime is 212013311087. The next prime is 212013311149. The reversal of 212013311100 is 1113310212.

It is a happy number.

It is a super-3 number, since 3×2120133111003 (a number of 35 digits) contains 333 as substring.

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 212013311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7190989 + ... + 7220411.

Almost surely, 2212013311100 is an apocalyptic number.

212013311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212013311100 is an abundant number, since it is smaller than the sum of its proper divisors (401458257540).

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

212013311100 is a wasteful number, since it uses less digits than its factorization.

212013311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53459 (or 53452 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 212013311100 its reverse (1113310212), we get a palindrome (213126621312).

The spelling of 212013311100 in words is "two hundred twelve billion, thirteen million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 24019 29423 48038 58846 72057 88269 96076 117692 120095 144114 147115 176538 240190 288228 294230 353076 360285 441345 480380 588460 600475 720570 735575 882690 1200950 1441140 1471150 1765380 1801425 2206725 2401900 2942300 3602850 4413450 7205700 8826900 706711037 1413422074 2120133111 2826844148 3533555185 4240266222 7067110370 8480532444 10600665555 14134220740 17667775925 21201331110 35335551850 42402662220 53003327775 70671103700 106006655550 212013311100