Search a number
-
+
211310000112 = 24329791921559
BaseRepresentation
bin1100010011001100001…
…1101011011111110000
3202012102120001012221110
43010303003223133300
511430230330000422
6241024030353320
721160313236161
oct3046303533760
9665376035843
10211310000112
1181685a93732
1234b5335b840
1316c07536233
14a328209768
15576b34a60c
hex31330eb7f0

211310000112 has 80 divisors (see below), whose sum is σ = 571856256000. Its totient is φ = 67146922752.

The previous prime is 211310000101. The next prime is 211310000117. The reversal of 211310000112 is 211000013112.

211310000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113100001122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211310000117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850812 + ... + 1070747.

It is an arithmetic number, because the mean of its divisors is an integer number (7148203200).

Almost surely, 2211310000112 is an apocalyptic number.

It is an amenable number.

211310000112 is an abundant number, since it is smaller than the sum of its proper divisors (360546255888).

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

211310000112 is a wasteful number, since it uses less digits than its factorization.

211310000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921678 (or 1921672 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211310000112 its reverse (211000013112), we get a palindrome (422310013224).

The spelling of 211310000112 in words is "two hundred eleven billion, three hundred ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 79 87 116 158 174 232 237 316 348 464 474 632 696 948 1264 1392 1896 2291 3792 4582 6873 9164 13746 18328 27492 36656 54984 109968 1921559 3843118 5764677 7686236 11529354 15372472 23058708 30744944 46117416 55725211 92234832 111450422 151803161 167175633 222900844 303606322 334351266 445801688 455409483 607212644 668702532 891603376 910818966 1214425288 1337405064 1821637932 2428850576 2674810128 3643275864 4402291669 7286551728 8804583338 13206875007 17609166676 26413750014 35218333352 52827500028 70436666704 105655000056 211310000112