Search a number
-
+
112210111020112 = 24719431816775063
BaseRepresentation
bin11001100000110111110011…
…110011101011110001010000
3112201022011220120100100122221
4121200313303303223301100
5104201422301410120422
61034352340253110424
732430625104314440
oct3140676363536120
9481264816310587
10112210111020112
113283204a3a5246
12107030a3188414
134a7c4a2843921
141d9cdd9694120
15ce8c986523c7
hex660df3cebc50

112210111020112 has 160 divisors (see below), whose sum is σ = 269103374059520. Its totient is φ = 44253620974080.

The previous prime is 112210111020109. The next prime is 112210111020149. The reversal of 112210111020112 is 211020111012211.

It is a super-2 number, since 2×1122101110201122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 13174693 + ... + 19949755.

It is an arithmetic number, because the mean of its divisors is an integer number (1681896087872).

Almost surely, 2112210111020112 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 112210111020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134551687029760).

112210111020112 is an abundant number, since it is smaller than the sum of its proper divisors (156893263039408).

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

112210111020112 is a wasteful number, since it uses less digits than its factorization.

112210111020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775321 (or 6775315 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 112210111020112 its reverse (211020111012211), we get a palindrome (323230222032323).

The spelling of 112210111020112 in words is "one hundred twelve trillion, two hundred ten billion, one hundred eleven million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 43 56 76 86 112 133 152 172 181 266 301 304 344 362 532 602 688 724 817 1064 1204 1267 1448 1634 2128 2408 2534 2896 3268 3439 4816 5068 5719 6536 6878 7783 10136 11438 13072 13756 15566 20272 22876 24073 27512 31132 45752 48146 54481 55024 62264 91504 96292 108962 124528 147877 192584 217924 295754 385168 435848 591508 871696 1035139 1183016 2070278 2366032 4140556 6775063 8281112 13550126 16562224 27100252 47425441 54200504 94850882 108401008 128726197 189701764 257452394 291327709 379403528 514904788 582655418 758807056 901083379 1029809576 1165310836 1226286403 1802166758 2039293963 2059619152 2330621672 2452572806 3604333516 4078587926 4661243344 4905145612 5535226471 7208667032 8157175852 8584004821 9810291224 11070452942 14417334064 16314351704 17168009642 19620582448 22140905884 23299441657 32628703408 34336019284 38746585297 44281811768 46598883314 52730315329 68672038568 77493170594 88563623536 93197766628 105460630658 137344077136 154986341188 163096091599 186395533256 210921261316 309972682376 326192183198 369112207303 372791066512 421842522632 619945364752 652384366396 738224414606 843685045264 1001875991251 1304768732792 1476448829212 2003751982502 2609537465584 2952897658424 4007503965004 5905795316848 7013131938757 8015007930008 14026263877514 16030015860016 28052527755028 56105055510056 112210111020112