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1131321294820 = 225176760781817
BaseRepresentation
bin10000011101101000000…
…000001111111111100100
311000011010201121101212001
4100131220000033333210
5122013421222413240
62223415525335044
7144510124224613
oct20355000177744
94004121541761
101131321294820
113a6877417412
12163311267484
13828b5b22c12
143ca831b787a
151e6655c489a
hex1076800ffe4

1131321294820 has 96 divisors (see below), whose sum is σ = 2557308644352. Its totient is φ = 418856030208.

The previous prime is 1131321294797. The next prime is 1131321294821. The reversal of 1131321294820 is 284921231311.

It is a super-2 number, since 2×11313212948202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131321294820.

It is not an unprimeable number, because it can be changed into a prime (1131321294821) 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, 13786552 + ... + 13868368.

It is an arithmetic number, because the mean of its divisors is an integer number (26638631712).

Almost surely, 21131321294820 is an apocalyptic number.

1131321294820 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 1131321294820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278654322176).

1131321294820 is an abundant number, since it is smaller than the sum of its proper divisors (1425987349532).

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

1131321294820 is a wasteful number, since it uses less digits than its factorization.

1131321294820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82517 (or 82515 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 1131321294820 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 607 670 1139 1214 1340 2278 2428 3035 4556 5695 6070 10319 11390 12140 20638 22780 40669 41276 51595 81338 81817 103190 162676 163634 203345 206380 327268 406690 409085 691373 813380 818170 1382746 1390889 1636340 2765492 2781778 3456865 5481739 5563556 6913730 6954445 10963478 13827460 13908890 21926956 27408695 27817780 49662919 54817390 93189563 99325838 109634780 186379126 198651676 248314595 372758252 465947815 496629190 844269623 931895630 993258380 1688539246 1863791260 3327415573 3377078492 4221348115 6654831146 8442696230 13309662292 16637077865 16885392460 33274155730 56566064741 66548311460 113132129482 226264258964 282830323705 565660647410 1131321294820