Search a number
-
+
1113200122032 = 2432137499113081
BaseRepresentation
bin10000001100101111111…
…001011101100010110000
310221102100211102110000100
4100030233321131202300
5121214313212401112
62211221433552400
7143266064625225
oct20145771354260
93842324373010
101113200122032
1139a1184a2059
1215b8b4575700
1380c8877797b
143bc4464794c
151de547832dc
hex1032fe5d8b0

1113200122032 has 120 divisors (see below), whose sum is σ = 3144471174000. Its totient is φ = 367616747520.

The previous prime is 1113200122003. The next prime is 1113200122039. The reversal of 1113200122032 is 2302210023111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1113200121996 and 1113200122014.

It is not an unprimeable number, because it can be changed into a prime (1113200122039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9787732 + ... + 9900812.

It is an arithmetic number, because the mean of its divisors is an integer number (26203926450).

Almost surely, 21113200122032 is an apocalyptic number.

1113200122032 is a gapful number since it is divisible by the number (12) 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 1113200122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572235587000).

1113200122032 is an abundant number, since it is smaller than the sum of its proper divisors (2031271051968).

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

1113200122032 is a wasteful number, since it uses less digits than its factorization.

1113200122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113731 (or 113722 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1113200122032 its reverse (2302210023111), we get a palindrome (3415410145143).

The spelling of 1113200122032 in words is "one trillion, one hundred thirteen billion, two hundred million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 499 548 822 998 1096 1233 1497 1644 1996 2192 2466 2994 3288 3992 4491 4932 5988 6576 7984 8982 9864 11976 17964 19728 23952 35928 68363 71856 113081 136726 205089 226162 273452 339243 410178 452324 546904 615267 678486 820356 904648 1017729 1093808 1230534 1356972 1640712 1809296 2035458 2461068 2713944 3281424 4070916 4922136 5427888 8141832 9844272 15492097 16283664 30984194 46476291 56427419 61968388 92952582 112854838 123936776 139428873 169282257 185905164 225709676 247873552 278857746 338564514 371810328 451419352 507846771 557715492 677129028 743620656 902838704 1015693542 1115430984 1354258056 2031387084 2230861968 2708516112 4062774168 7730556403 8125548336 15461112806 23191669209 30922225612 46383338418 61844451224 69575007627 92766676836 123688902448 139150015254 185533353672 278300030508 371066707344 556600061016 1113200122032