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112112021010 = 2351110119916903
BaseRepresentation
bin110100001101001100…
…1011010111000010010
3101201101021112202112110
41220122121122320102
53314101134133020
6123300433410150
711046145312053
oct1503231327022
9351337482473
10112112021010
1143601349820
121988a109956
13a758c36492
1455d78bc72a
152db27368e0
hex1a1a65ae12

112112021010 has 128 divisors (see below), whose sum is σ = 297943142400. Its totient is φ = 26772768000.

The previous prime is 112112021009. The next prime is 112112021041. The reversal of 112112021010 is 10120211211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6624219 + ... + 6641121.

It is an arithmetic number, because the mean of its divisors is an integer number (2327680800).

Almost surely, 2112112021010 is an apocalyptic number.

112112021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148971571200).

112112021010 is an abundant number, since it is smaller than the sum of its proper divisors (185831121390).

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

112112021010 is a wasteful number, since it uses less digits than its factorization.

112112021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17224.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112112021010 its reverse (10120211211), we get a palindrome (122232232221).

The spelling of 112112021010 in words is "one hundred twelve billion, one hundred twelve million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 199 202 303 330 398 505 597 606 995 1010 1111 1194 1515 1990 2189 2222 2985 3030 3333 4378 5555 5970 6567 6666 10945 11110 13134 16665 16903 20099 21890 32835 33330 33806 40198 50709 60297 65670 84515 100495 101418 120594 169030 185933 200990 221089 253545 301485 371866 442178 507090 557799 602970 663267 929665 1105445 1115598 1326534 1707203 1859330 2210890 2788995 3316335 3363697 3414406 5121609 5577990 6632670 6727394 8536015 10091091 10243218 16818485 17072030 18779233 20182182 25608045 33636970 37000667 37558466 50455455 51216090 56337699 74001334 93896165 100910910 111002001 112675398 185003335 187792330 222004002 281688495 339733397 370006670 555010005 563376990 679466794 1019200191 1110020010 1698666985 2038400382 3397333970 3737067367 5096000955 7474134734 10192001910 11211202101 18685336835 22422404202 37370673670 56056010505 112112021010