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1130311113102 = 232172647335833
BaseRepresentation
bin10000011100101011110…
…010101101100110001110
311000001112022202212001100
4100130223302231212032
5122004334121104402
62223131401523530
7144443106636453
oct20345362554616
94001468685040
101130311113102
113a63a9179996
1216308aaa35a6
138278475c562
143c9c8d7982a
151e606a8171c
hex1072bcad98e

1130311113102 has 72 divisors (see below), whose sum is σ = 2605569432336. Its totient is φ = 354058274304.

The previous prime is 1130311113089. The next prime is 1130311113103. The reversal of 1130311113102 is 2013111130311.

1130311113102 is a `hidden beast` number, since 1 + 1 + 30 + 311 + 11 + 310 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130311113103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3197778 + ... + 3533610.

It is an arithmetic number, because the mean of its divisors is an integer number (36188464338).

Almost surely, 21130311113102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130311113102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302784716168).

1130311113102 is an abundant number, since it is smaller than the sum of its proper divisors (1475258319234).

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

1130311113102 is a wasteful number, since it uses less digits than its factorization.

1130311113102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336522 (or 336502 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1130311113102 its reverse (2013111130311), we get a palindrome (3143422243413).

The spelling of 1130311113102 in words is "one trillion, one hundred thirty billion, three hundred eleven million, one hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 647 867 1294 1734 1941 2601 3882 5202 5823 10999 11646 21998 32997 65994 98991 186983 197982 335833 373966 560949 671666 1007499 1121898 1682847 2014998 3022497 3365694 5709161 6044994 11418322 17127483 34254966 51382449 97055737 102764898 194111474 217283951 291167211 434567902 582334422 651851853 873501633 1303703706 1747003266 1955555559 3693827167 3911111118 7387654334 11081481501 22162963002 33244444503 62795061839 66488889006 125590123678 188385185517 376770371034 565155556551 1130311113102