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1130013130020 = 2235157353339827
BaseRepresentation
bin10000011100011010000…
…001111111110100100100
311000000202120001202002220
4100130122001333310210
5122003231330130040
62223042035032340
7144432531060225
oct20343201776444
94000676052086
101130013130020
113a6265a52885
1216300713b6b0
1382737ab97c8
143c99b56d24c
151e5da8202d0
hex1071a07fd24

1130013130020 has 96 divisors (see below), whose sum is σ = 3193219628928. Its totient is φ = 298568404992.

The previous prime is 1130013129989. The next prime is 1130013130027. The reversal of 1130013130020 is 200313100311.

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

It is not an unprimeable number, because it can be changed into a prime (1130013130027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3155347 + ... + 3495173.

It is an arithmetic number, because the mean of its divisors is an integer number (33262704468).

Almost surely, 21130013130020 is an apocalyptic number.

1130013130020 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 1130013130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596609814464).

1130013130020 is an abundant number, since it is smaller than the sum of its proper divisors (2063206498908).

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

1130013130020 is a wasteful number, since it uses less digits than its factorization.

1130013130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340349 (or 340347 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1130013130020 its reverse (200313100311), we get a palindrome (1330326230331).

The spelling of 1130013130020 in words is "one trillion, one hundred thirty billion, thirteen million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 353 471 628 706 785 942 1059 1412 1570 1765 1884 2118 2355 3140 3530 4236 4710 5295 7060 9420 10590 21180 55421 110842 166263 221684 277105 332526 339827 554210 665052 679654 831315 1019481 1108420 1359308 1662630 1699135 2038962 3325260 3398270 4077924 5097405 6796540 10194810 20389620 53352839 106705678 119958931 160058517 213411356 239917862 266764195 320117034 359876793 479835724 533528390 599794655 640234068 719753586 800292585 1067056780 1199589310 1439507172 1600585170 1799383965 2399178620 3201170340 3598767930 7197535860 18833552167 37667104334 56500656501 75334208668 94167760835 113001313002 188335521670 226002626004 282503282505 376671043340 565006565010 1130013130020