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1331400233412 = 2233389202915619
BaseRepresentation
bin10011010111111101101…
…000110101000111000100
311201021120120102120202000
4103113331220311013010
5133303201424432122
62455345315345300
7165122224154364
oct23277550650704
94637516376660
101331400233412
114737097a4317
1219604b2b2230
13987205c0302
14486239669a4
152497593d0ac
hex135fda351c4

1331400233412 has 96 divisors (see below), whose sum is σ = 3462579120000. Its totient is φ = 442412710272.

The previous prime is 1331400233411. The next prime is 1331400233417. The reversal of 1331400233412 is 2143320041331.

It is a happy number.

1331400233412 is a `hidden beast` number, since 1 + 3 + 3 + 14 + 0 + 0 + 233 + 412 = 666.

It is a super-3 number, since 3×13314002334123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1331400233411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85234539 + ... + 85250157.

It is an arithmetic number, because the mean of its divisors is an integer number (36068532500).

Almost surely, 21331400233412 is an apocalyptic number.

1331400233412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331400233412 is an abundant number, since it is smaller than the sum of its proper divisors (2131178886588).

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

1331400233412 is a wasteful number, since it uses less digits than its factorization.

1331400233412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18050 (or 18042 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1331400233412 its reverse (2143320041331), we get a palindrome (3474720274743).

The spelling of 1331400233412 in words is "one trillion, three hundred thirty-one billion, four hundred million, two hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 389 778 1167 1556 2029 2334 3501 4058 4668 6087 7002 8116 10503 12174 14004 15619 18261 21006 24348 31238 36522 42012 46857 54783 62476 73044 93714 109566 140571 187428 219132 281142 421713 562284 789281 843426 1578562 1686852 2367843 3157124 4735686 6075791 7103529 9471372 12151582 14207058 18227373 21310587 24303164 28414116 31690951 36454746 42621174 54682119 63381902 72909492 85242348 95072853 109364238 126763804 164046357 190145706 218728476 285218559 328092714 380291412 570437118 656185428 855655677 1140874236 1711311354 3422622708 12327779939 24655559878 36983339817 49311119756 73966679634 110950019451 147933359268 221900038902 332850058353 443800077804 665700116706 1331400233412