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1131322010130 = 2335131696319001
BaseRepresentation
bin10000011101101000000…
…010111110101000010010
311000011010202221202002000
4100131220002332220102
5122013421413311010
62223415552534430
7144510133264224
oct20355002765022
94004122852060
101131322010130
113a6877865884
12163311551416
13828b6013690
143ca83322414
151e6656b67c0
hex107680bea12

1131322010130 has 128 divisors (see below), whose sum is σ = 3249287274240. Its totient is φ = 278448192000.

The previous prime is 1131322010107. The next prime is 1131322010153. The reversal of 1131322010130 is 310102231311.

1131322010130 is a `hidden beast` number, since 1 + 1 + 313 + 220 + 1 + 0 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (1131322010107) and next prime (1131322010153).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59530630 + ... + 59549630.

It is an arithmetic number, because the mean of its divisors is an integer number (25385056830).

Almost surely, 21131322010130 is an apocalyptic number.

1131322010130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1131322010130 is an abundant number, since it is smaller than the sum of its proper divisors (2117965264110).

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

1131322010130 is a wasteful number, since it uses less digits than its factorization.

1131322010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35993 (or 35987 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1131322010130 its reverse (310102231311), we get a palindrome (1441424241441).

The spelling of 1131322010130 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-two million, ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 16963 19001 33926 38002 50889 57003 84815 95005 101778 114006 152667 169630 171009 190010 220519 247013 254445 285015 305334 342018 441038 458001 494026 508890 513027 570030 661557 741039 763335 855045 916002 1026054 1102595 1235065 1323114 1482078 1526670 1710090 1984671 2205190 2223117 2290005 2470130 2565135 3307785 3705195 3969342 4446234 4580010 5130270 5954013 6615570 6669351 7410390 9923355 11115585 11908026 13338702 19846710 22231170 29770065 33346755 59540130 66693510 322313963 644627926 966941889 1611569815 1933883778 2900825667 3223139630 4190081519 4834709445 5801651334 8380163038 8702477001 9669418890 12570244557 14504128335 17404954002 20950407595 25140489114 29008256670 37710733671 41900815190 43512385005 62851222785 75421467342 87024770010 113132201013 125702445570 188553668355 226264402026 377107336710 565661005065 1131322010130