Search a number
-
+
212142120984 = 23335318530933
BaseRepresentation
bin1100010110010010100…
…1111110000000011000
3202021120112211100012000
43011210221332000120
511433431340332414
6241242353521000
721220036163433
oct3054451760030
9667515740160
10212142120984
1181a72773432
1235145b73160
131700aa54551
14a3a693681a
1557b9419b09
hex3164a7e018

212142120984 has 64 divisors (see below), whose sum is σ = 600402261600. Its totient is φ = 69379809408.

The previous prime is 212142120961. The next prime is 212142121021. The reversal of 212142120984 is 489021241212.

212142120984 is a `hidden beast` number, since 2 + 1 + 21 + 421 + 209 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9254019 + ... + 9276914.

Almost surely, 2212142120984 is an apocalyptic number.

212142120984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212142120984 is an abundant number, since it is smaller than the sum of its proper divisors (388260140616).

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

212142120984 is a wasteful number, since it uses less digits than its factorization.

212142120984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18531001 (or 18530991 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 212142120984 in words is "two hundred twelve billion, one hundred forty-two million, one hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 11448 18530933 37061866 55592799 74123732 111185598 148247464 166778397 222371196 333556794 444742392 500335191 667113588 982139449 1000670382 1334227176 1964278898 2001340764 2946418347 3928557796 4002681528 5892836694 7857115592 8839255041 11785673388 17678510082 23571346776 26517765123 35357020164 53035530246 70714040328 106071060492 212142120984