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332211132113130 = 233531732911117937
BaseRepresentation
bin100101110001001001110111…
…0100001010010000011101010
31121120021001222222210211012000
41023202103232201102003222
5322020421344310110010
63134315404234231430
7126655314356055564
oct11342235641220352
91546231888724160
10332211132113130
1196941a4a395956
12313148abb85576
131134a4b57ca48a
145c07166db4334
1528618920237c0
hex12e24ee8520ea

332211132113130 has 128 divisors (see below), whose sum is σ = 888725516405760. Its totient is φ = 88306740587520.

The previous prime is 332211132113099. The next prime is 332211132113153. The reversal of 332211132113130 is 31311231112233.

332211132113130 is a `hidden beast` number, since 3 + 3 + 2 + 21 + 1 + 1 + 321 + 1 + 313 + 0 = 666.

It is a super-2 number, since 2×3322111321131302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 332211132113094 and 332211132113103.

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, 2816793522 + ... + 2816911458.

It is an arithmetic number, because the mean of its divisors is an integer number (6943168096920).

Almost surely, 2332211132113130 is an apocalyptic number.

332211132113130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332211132113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444362758202880).

332211132113130 is an abundant number, since it is smaller than the sum of its proper divisors (556514384292630).

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

332211132113130 is a wasteful number, since it uses less digits than its factorization.

332211132113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151181 (or 151175 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 332211132113130 its reverse (31311231112233), we get a palindrome (363522363225363).

The spelling of 332211132113130 in words is "three hundred thirty-two trillion, two hundred eleven billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 317 634 951 1585 1902 2853 3170 4755 5706 8559 9510 14265 17118 28530 32911 42795 65822 85590 98733 117937 164555 197466 235874 296199 329110 353811 493665 589685 592398 707622 888597 987330 1061433 1179370 1480995 1769055 1777194 2122866 2961990 3184299 3538110 4442985 5307165 6368598 8885970 10432787 10614330 15921495 20865574 31298361 31842990 37386029 52163935 62596722 74772058 93895083 104327870 112158087 156491805 186930145 187790166 224316174 281685249 312983610 336474261 373860290 469475415 560790435 563370498 672948522 938950830 1009422783 1121580870 1408426245 1682371305 2018845566 2816852490 3364742610 3881424607 5047113915 7762849214 10094227830 11644273821 19407123035 23288547642 34932821463 38814246070 58221369105 69865642926 104798464389 116442738210 174664107315 209596928778 349328214630 523992321945 1047984643890 1230411600419 2460823200838 3691234801257 6152058002095 7382469602514 11073704403771 12304116004190 18456174006285 22147408807542 33221113211313 36912348012570 55368522018855 66442226422626 110737044037710 166105566056565 332211132113130