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12010333100100 = 22352378171132421
BaseRepresentation
bin1010111011000101111110…
…1000110101100001000100
31120112011202202121222100120
42232301133220311201010
53033234130233200400
641313245412141540
72346501151633536
oct256613750654104
946464682558316
1012010333100100
11391060aa20955
12141b8243078b0
136917533c6bba
142d743608d856
1515c63a179ca0
hexaec5fa35844

12010333100100 has 144 divisors (see below), whose sum is σ = 35693720830656. Its totient is φ = 3115789632000.

The previous prime is 12010333100089. The next prime is 12010333100107. The reversal of 12010333100100 is 100133301021.

12010333100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12010333100100.

It is not an unprimeable number, because it can be changed into a prime (12010333100107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90631890 + ... + 90764310.

It is an arithmetic number, because the mean of its divisors is an integer number (247873061324).

Almost surely, 212010333100100 is an apocalyptic number.

12010333100100 is a gapful number since it is divisible by the number (10) 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 12010333100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846860415328).

12010333100100 is an abundant number, since it is smaller than the sum of its proper divisors (23683387730556).

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

12010333100100 is a wasteful number, since it uses less digits than its factorization.

12010333100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140646 (or 140639 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12010333100100 its reverse (100133301021), we get a palindrome (12110466401121).

The spelling of 12010333100100 in words is "twelve trillion, ten billion, three hundred thirty-three million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 8171 11100 16342 24513 32684 40855 49026 81710 98052 122565 132421 163420 204275 245130 264842 302327 397263 408550 490260 529684 604654 612825 662105 794526 817100 906981 1209308 1225650 1324210 1511635 1589052 1813962 1986315 2451300 2648420 3023270 3310525 3627924 3972630 4534905 4899577 6046540 6621050 7558175 7945260 9069810 9799154 9931575 13242100 14698731 15116350 18139620 19598308 19863150 22674525 24497885 29397462 30232700 39726300 45349050 48995770 58794924 73493655 90698100 97991540 122489425 146987310 244978850 293974620 367468275 489957700 734936550 1082011991 1469873100 2164023982 3246035973 4328047964 5410059955 6492071946 10820119910 12984143892 16230179865 21640239820 27050299775 32460359730 40034443667 54100599550 64920719460 80068887334 81150899325 108201199100 120103331001 160137774668 162301798650 200172218335 240206662002 324603597300 400344436670 480413324004 600516655005 800688873340 1000861091675 1201033310010 2001722183350 2402066620020 3002583275025 4003444366700 6005166550050 12010333100100