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212032004300 = 225241239321611
BaseRepresentation
bin1100010101111000010…
…1111010000011001100
3202021021212121211111022
43011132011322003030
511433220143114200
6241223421413312
721214231204514
oct3053605720314
9667255554438
10212032004300
1181a165a2106
123511510a238
1316cc0cab04c
14a396070844
1557ae917885
hex315e17a0cc

212032004300 has 72 divisors (see below), whose sum is σ = 471550412592. Its totient is φ = 82705792000.

The previous prime is 212032004281. The next prime is 212032004329. The reversal of 212032004300 is 3400230212.

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, 9800495 + ... + 9822105.

It is an arithmetic number, because the mean of its divisors is an integer number (6549311286).

Almost surely, 2212032004300 is an apocalyptic number.

212032004300 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 212032004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235775206296).

212032004300 is an abundant number, since it is smaller than the sum of its proper divisors (259518408292).

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

212032004300 is a wasteful number, since it uses less digits than its factorization.

212032004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24059 (or 24052 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 212032004300 its reverse (3400230212), we get a palindrome (215432234512).

The spelling of 212032004300 in words is "two hundred twelve billion, thirty-two million, four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 2393 4100 4786 9572 11965 21611 23930 43222 47860 59825 86444 98113 108055 119650 196226 216110 239300 392452 432220 490565 540275 886051 981130 1080550 1772102 1962260 2161100 2452825 3544204 4430255 4905650 8860510 9811300 17721020 22151275 44302550 51715123 88605100 103430246 206860492 258575615 517151230 1034302460 1292878075 2120320043 2585756150 4240640086 5171512300 8481280172 10601600215 21203200430 42406400860 53008001075 106016002150 212032004300