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112102030222100 = 225253163433299683
BaseRepresentation
bin11001011111010011001001…
…101100001010001100010100
3112200220211221020020221110222
4121133103021230022030110
5104143134424214101400
61034230543422333512
732420050545560162
oct3137231154121424
9480824836227428
10112102030222100
11327a0227625a86
12106a615b12a298
134a72239b416c9
141d97aa5336232
15ce606ecac185
hex65f4c9b0a314

112102030222100 has 144 divisors (see below), whose sum is σ = 249948553643712. Its totient is φ = 43623725783040.

The previous prime is 112102030222099. The next prime is 112102030222109. The reversal of 112102030222100 is 1222030201211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102030222109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373918859 + ... + 374218541.

It is an arithmetic number, because the mean of its divisors is an integer number (1735753844748).

Almost surely, 2112102030222100 is an apocalyptic number.

112102030222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102030222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124974276821856).

112102030222100 is an abundant number, since it is smaller than the sum of its proper divisors (137846523421612).

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

112102030222100 is a wasteful number, since it uses less digits than its factorization.

112102030222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300346 (or 300339 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 112102030222100 its reverse (1222030201211), we get a palindrome (113324060423311).

The spelling of 112102030222100 in words is "one hundred twelve trillion, one hundred two billion, thirty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 163 212 265 326 433 530 652 815 866 1060 1325 1630 1732 2165 2650 3260 4075 4330 5300 8150 8639 8660 10825 16300 17278 21650 22949 34556 43195 43300 45898 70579 86390 91796 114745 141158 172780 215975 229490 282316 299683 352895 431950 458980 573725 599366 705790 863900 1147450 1198732 1411580 1498415 1764475 2294900 2996830 3528950 3740687 5993660 7057900 7481374 7492075 14962748 14984150 15883199 18703435 29968300 31766398 37406870 48848329 63532796 74813740 79415995 93517175 97696658 129762739 158831990 187034350 195393316 244241645 259525478 317663980 374068700 397079975 488483290 519050956 648813695 794159950 976966580 1221208225 1297627390 1588319900 2442416450 2588961437 2595254780 3244068475 4884832900 5177922874 6488136950 6877425167 10355845748 12944807185 12976273900 13754850334 21151326457 25889614370 27509700668 34387125835 42302652914 51779228740 64724035925 68774251670 84605305828 105756632285 129448071850 137548503340 171935629175 211513264570 258896143700 343871258350 423026529140 528783161425 687742516700 1057566322850 1121020302221 2115132645700 2242040604442 4484081208884 5605101511105 11210203022210 22420406044420 28025507555525 56051015111050 112102030222100