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3113311300044 = 22311193109399277
BaseRepresentation
bin101101010011011111110…
…100000110100111001100
3102000122000000110201112120
4231103133310012213030
5402002030143100134
610342122505532540
7440633520262401
oct55233764064714
912018000421476
103113311300044
11aa03910795a0
124234697a4150
1319777906763a
14aa983b982a8
1555eb73c2649
hex2d4dfd069cc

3113311300044 has 96 divisors (see below), whose sum is σ = 8344590777600. Its totient is φ = 893483861760.

The previous prime is 3113311299983. The next prime is 3113311300051. The reversal of 3113311300044 is 4400031133113.

It is a super-2 number, since 2×31133113000442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3113311299987 and 3113311300023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7597734 + ... + 7997010.

It is an arithmetic number, because the mean of its divisors is an integer number (86922820600).

Almost surely, 23113311300044 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 3113311300044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172295388800).

3113311300044 is an abundant number, since it is smaller than the sum of its proper divisors (5231279477556).

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

3113311300044 is a wasteful number, since it uses less digits than its factorization.

3113311300044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402423 (or 402421 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3113311300044 its reverse (4400031133113), we get a palindrome (7513342433157).

The spelling of 3113311300044 in words is "three trillion, one hundred thirteen billion, three hundred eleven million, three hundred thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 3109 6218 9327 12436 18654 34199 37308 59071 68398 102597 118142 136796 177213 205194 236284 354426 399277 410388 649781 708852 798554 1197831 1299562 1597108 1949343 2395662 2599124 3898686 4392047 4791324 7586263 7797372 8784094 13176141 15172526 17568188 22758789 26352282 30345052 45517578 52704564 83448893 91035156 166897786 250346679 333795572 500693358 1001386716 1241352193 2482704386 3724056579 4965408772 7448113158 13654874123 14896226316 23585691667 27309748246 40964622369 47171383334 54619496492 70757075001 81929244738 94342766668 141514150002 163858489476 259442608337 283028300004 518885216674 778327825011 1037770433348 1556655650022 3113311300044