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332130032320 = 2653743652361
BaseRepresentation
bin1001101010101000111…
…11100001101011000000
31011202021201020210011011
410311110133201223000
520420200242013240
6412324535130304
732665330460062
oct4652437415300
91152251223134
10332130032320
11118945821119
1254451813994
1325420598458
141210a413732
15898d2d36ea
hex4d547e1ac0

332130032320 has 112 divisors (see below), whose sum is σ = 831150939168. Its totient is φ = 126255144960.

The previous prime is 332130032243. The next prime is 332130032329. The reversal of 332130032320 is 23230031233.

It is a super-2 number, since 2×3321300323202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332130032291 and 332130032300.

It is not an unprimeable number, because it can be changed into a prime (332130032329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182940 + ... + 835300.

Almost surely, 2332130032320 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 332130032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415575469584).

332130032320 is an abundant number, since it is smaller than the sum of its proper divisors (499020906848).

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

332130032320 is a wasteful number, since it uses less digits than its factorization.

332130032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652458 (or 652448 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 332130032320 its reverse (23230031233), we get a palindrome (355360063553).

The spelling of 332130032320 in words is "three hundred thirty-two billion, one hundred thirty million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 43 64 74 80 86 148 160 172 185 215 296 320 344 370 430 592 688 740 860 1184 1376 1480 1591 1720 2368 2752 2960 3182 3440 5920 6364 6880 7955 11840 12728 13760 15910 25456 31820 50912 63640 101824 127280 254560 509120 652361 1304722 2609444 3261805 5218888 6523610 10437776 13047220 20875552 24137357 26094440 28051523 41751104 48274714 52188880 56103046 96549428 104377760 112206092 120686785 140257615 193098856 208755520 224412184 241373570 280515230 386197712 448824368 482747140 561030460 772395424 897648736 965494280 1037906351 1122060920 1544790848 1795297472 1930988560 2075812702 2244121840 3861977120 4151625404 4488243680 5189531755 7723954240 8303250808 8976487360 10379063510 16606501616 20758127020 33213003232 41516254040 66426006464 83032508080 166065016160 332130032320