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1130253250240 = 26510191938053
BaseRepresentation
bin10000011100101000010…
…101111110111011000000
311000001101021220010010101
4100130220111332323000
5122004224313001430
62223121533412144
7144441505053202
oct20345025767300
94001337803111
101130253250240
113a6379548744
1216307363a054
138277578028a
143c9c13d6772
151e601951dca
hex1072857eec0

1130253250240 has 112 divisors (see below), whose sum is σ = 2721092368320. Its totient is φ = 447126220800.

The previous prime is 1130253250229. The next prime is 1130253250307. The reversal of 1130253250240 is 420523520311.

It is a junction number, because it is equal to n+sod(n) for n = 1130253250199 and 1130253250208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29683054 + ... + 29721106.

Almost surely, 21130253250240 is an apocalyptic number.

1130253250240 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 1130253250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360546184160).

1130253250240 is an abundant number, since it is smaller than the sum of its proper divisors (1590839118080).

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

1130253250240 is a wasteful number, since it uses less digits than its factorization.

1130253250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39090 (or 39080 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 1130253250240 its reverse (420523520311), we get a palindrome (1550776770551).

The spelling of 1130253250240 in words is "one trillion, one hundred thirty billion, two hundred fifty-three million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 919 1010 1616 1838 2020 3232 3676 4040 4595 6464 7352 8080 9190 14704 16160 18380 29408 32320 36760 38053 58816 73520 76106 92819 147040 152212 185638 190265 294080 304424 371276 380530 464095 608848 742552 761060 928190 1217696 1485104 1522120 1856380 2435392 2970208 3044240 3712760 3843353 5940416 6088480 7425520 7686706 12176960 14851040 15373412 19216765 29702080 30746824 34970707 38433530 61493648 69941414 76867060 122987296 139882828 153734120 174853535 245974592 279765656 307468240 349707070 559531312 614936480 699414140 1119062624 1229872960 1398828280 2238125248 2797656560 3532041407 5595313120 7064082814 11190626240 14128165628 17660207035 28256331256 35320414070 56512662512 70640828140 113025325024 141281656280 226050650048 282563312560 565126625120 1130253250240