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1311830088936 = 233475323991811
BaseRepresentation
bin10011000101101111001…
…010101001110011101000
311122102001200202020102020
4103011233022221303220
5132443112000321221
62442351343304440
7163530241526523
oct23055712516350
94572050666366
101311830088936
114663869820a4
121922a92ab120
1396921cab273
14476c87b7bba
15241cc7d1ac6
hex1316f2a9ce8

1311830088936 has 128 divisors (see below), whose sum is σ = 3426864537600. Its totient is φ = 418136526080.

The previous prime is 1311830088911. The next prime is 1311830088937. The reversal of 1311830088936 is 6398800381131.

It is a super-2 number, since 2×13118300889362 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311830088937) 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, 14242471 + ... + 14334281.

It is an arithmetic number, because the mean of its divisors is an integer number (26772379200).

Almost surely, 21311830088936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311830088936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713432268800).

1311830088936 is an abundant number, since it is smaller than the sum of its proper divisors (2115034448664).

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

1311830088936 is a wasteful number, since it uses less digits than its factorization.

1311830088936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92159 (or 92155 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 1311830088936 in words is "one trillion, three hundred eleven billion, eight hundred thirty million, eighty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 212 239 282 318 376 424 478 564 636 717 956 1128 1272 1434 1912 2491 2868 4982 5736 7473 9964 11233 12667 14946 19928 22466 25334 29892 33699 38001 44932 50668 59784 67398 76002 89864 91811 101336 134796 152004 183622 269592 275433 304008 367244 550866 595349 734488 1101732 1190698 1786047 2203464 2381396 3572094 4315117 4762792 4865983 7144188 8630234 9731966 12945351 14288376 14597949 17260468 19463932 21942829 25890702 29195898 34520936 38927864 43885658 51781404 58391796 65828487 87771316 103562808 116783592 131656974 175542632 228701201 263313948 457402402 526627896 686103603 914804804 1031312963 1162969937 1372207206 1829609608 2062625926 2325939874 2744414412 3093938889 3488909811 4125251852 4651879748 5488828824 6187877778 6977819622 8250503704 9303759496 12375755556 13955639244 24751511112 27911278488 54659587039 109319174078 163978761117 218638348156 327957522234 437276696312 655915044468 1311830088936