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1130024133020 = 2254147131223823
BaseRepresentation
bin10000011100011010101…
…011111110000110011100
311000000210022202202101102
4100130122223332012130
5122003242134224040
62223043110532232
7144433023435026
oct20343253760634
94000708682342
101130024133020
113a6271188572
1216300a967078
138273a16ca63
143c99cbd5016
151e5db795515
hex1071aafe19c

1130024133020 has 96 divisors (see below), whose sum is σ = 2501614596096. Its totient is φ = 428305779200.

The previous prime is 1130024132999. The next prime is 1130024133023. The reversal of 1130024133020 is 203314200311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1130024132983 and 1130024133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130024133023) 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, 4936829 + ... + 5160651.

It is an arithmetic number, because the mean of its divisors is an integer number (26058485376).

Almost surely, 21130024133020 is an apocalyptic number.

1130024133020 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 1130024133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250807298048).

1130024133020 is an abundant number, since it is smaller than the sum of its proper divisors (1371590463076).

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

1130024133020 is a wasteful number, since it uses less digits than its factorization.

1130024133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224051 (or 224049 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1130024133020 its reverse (203314200311), we get a palindrome (1333338333331).

The spelling of 1130024133020 in words is "one trillion, one hundred thirty billion, twenty-four million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 41 47 82 94 131 164 188 205 235 262 410 470 524 655 820 940 1310 1927 2620 3854 5371 6157 7708 9635 10742 12314 19270 21484 24628 26855 30785 38540 53710 61570 107420 123140 223823 252437 447646 504874 895292 1009748 1119115 1262185 2238230 2524370 4476460 5048740 9176743 10519681 18353486 21039362 29320813 36706972 42078724 45883715 52598405 58641626 91767430 105196810 117283252 146604065 183534860 210393620 293208130 431306921 586416260 862613842 1202153333 1378078211 1725227684 2156534605 2404306666 2756156422 4313069210 4808613332 5512312844 6010766665 6890391055 8626138420 12021533330 13780782110 24043066660 27561564220 56501206651 113002413302 226004826604 282506033255 565012066510 1130024133020