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212011010200 = 235211157613813
BaseRepresentation
bin1100010101110011010…
…1110100100010011000
3202021020102010020000001
43011130311310202120
511433144304311300
6241221351422344
721213554565313
oct3053465644230
9667212106001
10212011010200
1181a05762a10
123510a0849b4
1316cb983a2c2
14a39336797a
1557acb6c16a
hex315cd74898

212011010200 has 96 divisors (see below), whose sum is σ = 541162974960. Its totient is φ = 76603737600.

The previous prime is 212011010173. The next prime is 212011010219. The reversal of 212011010200 is 2010110212.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 38494 + ... + 652306.

Almost surely, 2212011010200 is an apocalyptic number.

212011010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212011010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270581487480).

212011010200 is an abundant number, since it is smaller than the sum of its proper divisors (329151964760).

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

212011010200 is a wasteful number, since it uses less digits than its factorization.

212011010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613997 (or 613988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212011010200 its reverse (2010110212), we get a palindrome (214021120412).

The spelling of 212011010200 in words is "two hundred twelve billion, eleven million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 157 200 220 275 314 440 550 628 785 1100 1256 1570 1727 2200 3140 3454 3925 6280 6908 7850 8635 13816 15700 17270 31400 34540 43175 69080 86350 172700 345400 613813 1227626 2455252 3069065 4910504 6138130 6751943 12276260 13503886 15345325 24552520 27007772 30690650 33759715 54015544 61381300 67519430 96368641 122762600 135038860 168798575 192737282 270077720 337597150 385474564 481843205 675194300 770949128 963686410 1060055051 1350388600 1927372820 2120110102 2409216025 3854745640 4240220204 4818432050 5300275255 8480440408 9636864100 10600550510 19273728200 21201101020 26501376275 42402202040 53002752550 106005505100 212011010200