Search a number
-
+
220210001012112 = 24337613291761751
BaseRepresentation
bin110010000100011110100010…
…111000101110010110010000
31001212200212111121001022012120
4302010132202320232112100
5212330410040224341422
62100203024454054240
764245435052442226
oct6204364270562620
91055625447038176
10220210001012112
116419059a787a51
122084620b94a380
1395b4938844b17
143c543142aab16
151a6d27a3a745c
hexc847a2e2e590

220210001012112 has 160 divisors (see below), whose sum is σ = 593856398448384. Its totient is φ = 70245377280000.

The previous prime is 220210001012101. The next prime is 220210001012129. The reversal of 220210001012112 is 211210100012022.

It is a junction number, because it is equal to n+sod(n) for n = 220210001012091 and 220210001012100.

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, 3566065237 + ... + 3566126987.

Almost surely, 2220210001012112 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 220210001012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296928199224192).

220210001012112 is an abundant number, since it is smaller than the sum of its proper divisors (373646397436272).

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

220210001012112 is a wasteful number, since it uses less digits than its factorization.

220210001012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94777 (or 94771 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220210001012112 its reverse (211210100012022), we get a palindrome (431420101024134).

The spelling of 220210001012112 in words is "two hundred twenty trillion, two hundred ten billion, one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 61 74 111 122 148 183 222 244 296 366 444 488 592 732 888 976 1464 1776 2257 2928 4514 6771 9028 13542 18056 27084 32917 36112 54168 61751 65834 98751 108336 123502 131668 185253 197502 247004 263336 370506 395004 494008 526672 741012 790008 988016 1217929 1482024 1580016 2007937 2284787 2435858 2964048 3653787 3766811 4015874 4569574 4871716 6023811 6854361 7307574 7533622 8031748 9139148 9743432 11300433 12047622 13708722 14615148 15067244 16063496 18278296 19486864 22600866 24095244 27417444 29230296 30134488 32126992 36556592 45201732 48190488 54834888 58460592 60268976 74293669 90403464 96380976 109669776 139372007 148587338 180806928 222881007 278744014 297174676 418116021 445762014 557488028 594349352 836232042 891524028 1114976056 1188698704 1672464084 1783048056 2032657667 2229952112 3344928168 3566096112 4065315334 6097973001 6689856336 8130630668 12195946002 16261261336 24391892004 32522522672 48783784008 75208333679 97567568016 123992117687 150416667358 225625001037 247984235374 300833334716 371976353061 451250002074 495968470748 601666669432 743952706122 902500004148 991936941496 1203333338864 1487905412244 1805000008296 1983873882992 2975810824488 3610000016592 4587708354419 5951621648976 9175416708838 13763125063257 18350833417676 27526250126514 36701666835352 55052500253028 73403333670704 110105000506056 220210001012112