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12031001333310 = 23519413491475087
BaseRepresentation
bin1010111100010010111110…
…0011111000111000111110
31120121011010011120000020110
42233010233203320320332
53034103442320131220
641330544332130450
72351132300004321
oct257045743707076
946534104500213
1012031001333310
113919356672423
121423832006a26
1369369836a9ab
142d84370007b8
1515ce498e0be0
hexaf12f8f8e3e

12031001333310 has 128 divisors (see below), whose sum is σ = 31224662784000. Its totient is φ = 2956780385280.

The previous prime is 12031001333303. The next prime is 12031001333333. The reversal of 12031001333310 is 1333310013021.

It is a super-2 number, since 2×120310013333102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7418587 + ... + 8893673.

It is an arithmetic number, because the mean of its divisors is an integer number (243942678000).

Almost surely, 212031001333310 is an apocalyptic number.

12031001333310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031001333310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15612331392000).

12031001333310 is an abundant number, since it is smaller than the sum of its proper divisors (19193661450690).

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

12031001333310 is a wasteful number, since it uses less digits than its factorization.

12031001333310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475506.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 12031001333310 its reverse (1333310013021), we get a palindrome (13364311346331).

The spelling of 12031001333310 in words is "twelve trillion, thirty-one billion, one million, three hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 41 57 82 95 114 123 190 205 246 285 349 410 570 615 698 779 1047 1230 1558 1745 2094 2337 3490 3895 4674 5235 6631 7790 10470 11685 13262 14309 19893 23370 28618 33155 39786 42927 66310 71545 85854 99465 143090 198930 214635 271871 429270 543742 815613 1359355 1475087 1631226 2718710 2950174 4078065 4425261 7375435 8156130 8850522 14750870 22126305 28026653 44252610 56053306 60478567 84079959 120957134 140133265 168159918 181435701 280266530 302392835 362871402 420399795 514805363 604785670 840799590 907178505 1029610726 1149092773 1544416089 1814357010 2298185546 2574026815 3088832178 3447278319 5148053630 5745463865 6894556638 7722080445 9781301897 11490927730 15444160890 17236391595 19562603794 21107019883 29343905691 34472783190 42214039766 48906509485 58687811382 63321059649 97813018970 105535099415 126642119298 146719528455 211070198830 293439056910 316605298245 401033377777 633210596490 802066755554 1203100133331 2005166888885 2406200266662 4010333777770 6015500666655 12031001333310