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211204412412 = 223741106957367
BaseRepresentation
bin1100010010110011000…
…0111001001111111100
3202012011012100210211220
43010230300321033330
511430021312144122
6241005335313340
721154561612260
oct3045460711774
9665135323756
10211204412412
1181631426074
1234b23b1b850
1316bbb6b72c6
14a3181a20a0
155761e4025c
hex312cc393fc

211204412412 has 96 divisors (see below), whose sum is σ = 577498414080. Its totient is φ = 58816212480.

The previous prime is 211204412407. The next prime is 211204412429. The reversal of 211204412412 is 214214402112.

It is a happy number.

211204412412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3652953 + ... + 3710319.

It is an arithmetic number, because the mean of its divisors is an integer number (6015608480).

Almost surely, 2211204412412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211204412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288749207040).

211204412412 is an abundant number, since it is smaller than the sum of its proper divisors (366294001668).

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

211204412412 is a wasteful number, since it uses less digits than its factorization.

211204412412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58491 (or 58489 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 211204412412 its reverse (214214402112), we get a palindrome (425418814524).

The spelling of 211204412412 in words is "two hundred eleven billion, two hundred four million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1069 1148 1722 2138 3207 3444 4276 6414 7483 12828 14966 22449 29932 43829 44898 57367 87658 89796 114734 131487 172101 175316 229468 262974 306803 344202 401569 525948 613606 688404 803138 920409 1204707 1227212 1606276 1840818 2352047 2409414 3681636 4704094 4818828 7056141 9408188 14112282 16464329 28224564 32928658 49392987 61325323 65857316 98785974 122650646 183975969 197571948 245301292 367951938 429277261 735903876 858554522 1287831783 1717109044 2514338243 2575663566 5028676486 5151327132 7543014729 10057352972 15086029458 17600367701 30172058916 35200735402 52801103103 70401470804 105602206206 211204412412