Search a number
-
+
1112300103320 = 235722352334061
BaseRepresentation
bin10000001011111010010…
…000001010011010011000
310221100001002212202102222
4100023322100022122120
5121210442311301240
62210552243243212
7143234555611040
oct20137220123230
93840032782388
101112300103320
113997a645773a
1215b6a3079508
1380b74175913
143bb9acc4720
151de00750eb5
hex102fa40a698

1112300103320 has 128 divisors (see below), whose sum is σ = 2878604144640. Its totient is φ = 378912867840.

The previous prime is 1112300103301. The next prime is 1112300103323. The reversal of 1112300103320 is 233010032111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112300103323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32639090 + ... + 32673150.

It is an arithmetic number, because the mean of its divisors is an integer number (22489094880).

Almost surely, 21112300103320 is an apocalyptic number.

1112300103320 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 1112300103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439302072320).

1112300103320 is an abundant number, since it is smaller than the sum of its proper divisors (1766304041320).

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

1112300103320 is a wasteful number, since it uses less digits than its factorization.

1112300103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34825 (or 34821 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1112300103320 its reverse (233010032111), we get a palindrome (1345310135431).

The spelling of 1112300103320 in words is "one trillion, one hundred twelve billion, three hundred million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 223 280 446 523 892 1046 1115 1561 1784 2092 2230 2615 3122 3661 4184 4460 5230 6244 7322 7805 8920 10460 12488 14644 15610 18305 20920 29288 31220 34061 36610 62440 68122 73220 116629 136244 146440 170305 233258 238427 272488 340610 466516 476854 583145 681220 816403 933032 953708 1166290 1192135 1362440 1632806 1907416 2332580 2384270 3265612 4082015 4665160 4768540 6531224 7595603 8164030 9537080 15191206 16328060 17813903 30382412 32656120 35627806 37978015 53169221 60764824 71255612 75956030 89069515 106338442 124697321 142511224 151912060 178139030 212676884 249394642 265846105 303824120 356278060 425353768 498789284 531692210 623486605 712556120 997578568 1063384420 1246973210 2126768840 2493946420 3972500369 4987892840 7945000738 15890001476 19862501845 27807502583 31780002952 39725003690 55615005166 79450007380 111230010332 139037512915 158900014760 222460020664 278075025830 556150051660 1112300103320