Search a number
-
+
31212111200022 = 2321992099910249
BaseRepresentation
bin1110001100011001000101…
…10011001111111100010110
311002111211220200202120120100
413012030202303033330112
513042334400431400042
6150214351304514530
76401000132526264
oct706144263177426
9132454820676510
1031212111200022
119a43a8908aa65
123601148a7ba46
13145539bc240ac
1479c96219b434
15391d72d9d24c
hex1c6322ccff16

31212111200022 has 48 divisors (see below), whose sum is σ = 71193253950000. Its totient is φ = 9855384867072.

The previous prime is 31212111199999. The next prime is 31212111200047. The reversal of 31212111200022 is 22000211121213.

31212111200022 is a `hidden beast` number, since 312 + 1 + 211 + 120 + 0 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31212111199968 and 31212111200004.

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, 1805647 + ... + 8104602.

It is an arithmetic number, because the mean of its divisors is an integer number (1483192790625).

Almost surely, 231212111200022 is an apocalyptic number.

31212111200022 is an abundant number, since it is smaller than the sum of its proper divisors (39981142749978).

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

31212111200022 is a wasteful number, since it uses less digits than its factorization.

31212111200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9919485 (or 9919482 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31212111200022 its reverse (22000211121213), we get a palindrome (53212322321235).

The spelling of 31212111200022 in words is "thirty-one trillion, two hundred twelve billion, one hundred eleven million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 9209 18418 27627 55254 82881 165762 174971 349942 524913 1049826 1574739 3149478 9910249 19820498 29730747 59461494 89192241 178384482 188294731 376589462 564884193 1129768386 1694652579 3389305158 91263483041 182526966082 273790449123 547580898246 821371347369 1642742694738 1734006177779 3468012355558 5202018533337 10404037066674 15606055600011 31212111200022