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1313002033332 = 22311101157627293
BaseRepresentation
bin10011000110110101000…
…001010001000010110100
311122112002100222011220020
4103012311001101002310
5133003012010031312
62443103530205140
7163601262065163
oct23066501210264
94575070864806
101313002033332
11466928466290
121925758837b0
1396a7aa2b7a2
144779a2c33da
152424a62978c
hex131b50510b4

1313002033332 has 96 divisors (see below), whose sum is σ = 3396781954944. Its totient is φ = 391430208000.

The previous prime is 1313002033327. The next prime is 1313002033471. The reversal of 1313002033332 is 2333302003131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1779478 + ... + 2406770.

It is an arithmetic number, because the mean of its divisors is an integer number (35383145364).

Almost surely, 21313002033332 is an apocalyptic number.

1313002033332 is a gapful number since it is divisible by the number (12) 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 1313002033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698390977472).

1313002033332 is an abundant number, since it is smaller than the sum of its proper divisors (2083779921612).

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

1313002033332 is a wasteful number, since it uses less digits than its factorization.

1313002033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627569 (or 627567 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 1313002033332 its reverse (2333302003131), we get a palindrome (3646304036463).

The spelling of 1313002033332 in words is "one trillion, three hundred thirteen billion, two million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 157 202 303 314 404 471 606 628 942 1111 1212 1727 1884 2222 3333 3454 4444 5181 6666 6908 10362 13332 15857 20724 31714 47571 63428 95142 174427 190284 348854 523281 627293 697708 1046562 1254586 1881879 2093124 2509172 3763758 6900223 7527516 13800446 20700669 27600892 41401338 63356593 82802676 98485001 126713186 190069779 196970002 253426372 295455003 380139558 393940004 590910006 696922523 760279116 1083335011 1181820012 1393845046 2090767569 2166670022 2787690092 3250005033 4181535138 4333340044 6500010066 8363070276 9946985101 13000020132 19893970202 29840955303 39787940404 59681910606 109416836111 119363821212 218833672222 328250508333 437667344444 656501016666 1313002033332