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1113111013200 = 243521423651857
BaseRepresentation
bin10000001100101010100…
…101100010011101010000
310221102010121202020200020
4100030222211202131100
5121214122404410300
62211204532023440
7143263633333554
oct20145245423520
93842117666606
101113111013200
1139a08216a29a
1215b88a761b80
1380c73178554
143bc3688d864
151de4ba308a0
hex1032a962750

1113111013200 has 120 divisors (see below), whose sum is σ = 3568176824448. Its totient is φ = 296620554240.

The previous prime is 1113111013199. The next prime is 1113111013247. The reversal of 1113111013200 is 23101113111.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11131110132002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1113111013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381672 + ... + 2033528.

Almost surely, 21113111013200 is an apocalyptic number.

1113111013200 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 1113111013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784088412224).

1113111013200 is an abundant number, since it is smaller than the sum of its proper divisors (2455065811248).

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

1113111013200 is a wasteful number, since it uses less digits than its factorization.

1113111013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653301 (or 653290 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1113111013200 its reverse (23101113111), we get a palindrome (1136212126311).

The spelling of 1113111013200 in words is "one trillion, one hundred thirteen billion, one hundred eleven million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1423 2846 4269 5692 7115 8538 11384 14230 17076 21345 22768 28460 34152 35575 42690 56920 68304 71150 85380 106725 113840 142300 170760 213450 284600 341520 426900 569200 651857 853800 1303714 1707600 1955571 2607428 3259285 3911142 5214856 6518570 7822284 9777855 10429712 13037140 15644568 16296425 19555710 26074280 31289136 32592850 39111420 48889275 52148560 65185700 78222840 97778550 130371400 156445680 195557100 260742800 391114200 782228400 927592511 1855185022 2782777533 3710370044 4637962555 5565555066 7420740088 9275925110 11131110132 13913887665 14841480176 18551850220 22262220264 23189812775 27827775330 37103700440 44524440528 46379625550 55655550660 69569438325 74207400880 92759251100 111311101320 139138876650 185518502200 222622202640 278277753300 371037004400 556555506600 1113111013200