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1131130226000 = 24531135005001
BaseRepresentation
bin10000011101011100100…
…111011000010101010000
311000010122102002002201002
4100131130213120111100
5122013023314213000
62223344542201132
7144502314165635
oct20353447302520
94003572062632
101131130226000
113a67895845a5
121632792831a8
1382885374b48
143ca65a7c18c
151e6539318d5
hex1075c9d8550

1131130226000 has 80 divisors (see below), whose sum is σ = 2759277622608. Its totient is φ = 448448000000.

The previous prime is 1131130225937. The next prime is 1131130226003. The reversal of 1131130226000 is 6220311311.

It can be written as a sum of positive squares in 8 ways, for example, as 950406612544 + 180723613456 = 974888^2 + 425116^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11311302260002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131130226003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2276501 + ... + 2728500.

Almost surely, 21131130226000 is an apocalyptic number.

1131130226000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131130226000 is an abundant number, since it is smaller than the sum of its proper divisors (1628147396608).

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

1131130226000 is a wasteful number, since it uses less digits than its factorization.

1131130226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005137 (or 5005121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1131130226000 its reverse (6220311311), we get a palindrome (1137350537311).

The spelling of 1131130226000 in words is "one trillion, one hundred thirty-one billion, one hundred thirty million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2825 4520 5650 9040 11300 14125 22600 28250 45200 56500 113000 226000 5005001 10010002 20020004 25025005 40040008 50050010 80080016 100100020 125125025 200200040 250250050 400400080 500500100 565565113 625625125 1001000200 1131130226 1251250250 2002000400 2262260452 2502500500 2827825565 4524520904 5005001000 5655651130 9049041808 10010002000 11311302260 14139127825 22622604520 28278255650 45245209040 56556511300 70695639125 113113022600 141391278250 226226045200 282782556500 565565113000 1131130226000