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13010233101030 = 23251190911445567
BaseRepresentation
bin1011110101010010111001…
…0100101000101011100110
31201001202200111212220220100
42331110232110220223212
53201124424133213110
643400452451244530
72511646463463234
oct275245624505346
951052614786810
1013010233101030
114166677455a90
1215615788a9746
13734b23a4c499
1432d9ad105954
1517865cc3bbc0
hexbd52e528ae6

13010233101030 has 96 divisors (see below), whose sum is σ = 36905836750848. Its totient is φ = 3153646785600.

The previous prime is 13010233101017. The next prime is 13010233101049. The reversal of 13010233101030 is 3010133201031.

It is a happy number.

13010233101030 is a `hidden beast` number, since 1 + 301 + 0 + 2 + 331 + 0 + 1 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13010233100994 and 13010233101012.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8277307 + ... + 9722873.

It is an arithmetic number, because the mean of its divisors is an integer number (384435799488).

Almost surely, 213010233101030 is an apocalyptic number.

13010233101030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13010233101030 is an abundant number, since it is smaller than the sum of its proper divisors (23895603649818).

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

13010233101030 is a wasteful number, since it uses less digits than its factorization.

13010233101030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454682 (or 1454679 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13010233101030 its reverse (3010133201031), we get a palindrome (16020366302061).

The spelling of 13010233101030 in words is "thirteen trillion, ten billion, two hundred thirty-three million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 9091 18182 27273 45455 54546 81819 90910 100001 136365 163638 200002 272730 300003 409095 500005 600006 818190 900009 1000010 1445567 1500015 1800018 2891134 3000030 4336701 4500045 7227835 8673402 9000090 13010103 14455670 15901237 21683505 26020206 31802474 43367010 47703711 65050515 79506185 95407422 130101030 143111133 159012370 238518555 286222266 477037110 715555665 1431111330 13141649597 26283299194 39424948791 65708247985 78849897582 118274846373 131416495970 144558145567 197124743955 236549692746 289116291134 394249487910 433674436701 591374231865 722790727835 867348873402 1182748463730 1301023310103 1445581455670 2168372183505 2602046620206 4336744367010 6505116550515 13010233101030