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32201003113032 = 23313197477726497
BaseRepresentation
bin1110101001001011000010…
…10110100001101001001000
311020000101102021100201100010
413110211201112201221020
513210040123244104112
6152252534150311520
76532305606226125
oct724454126415110
9136011367321303
1032201003113032
11a295406862776
12374092a9585a0
1314c7706a7c8a0
147d477323974c
153ac94e32463c
hex1d49615a1a48

32201003113032 has 128 divisors (see below), whose sum is σ = 91270234339200. Its totient is φ = 9385258917888.

The previous prime is 32201003113031. The next prime is 32201003113043. The reversal of 32201003113032 is 23031130010223.

It is not an unprimeable number, because it can be changed into a prime (32201003113031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43960408 + ... + 44686904.

It is an arithmetic number, because the mean of its divisors is an integer number (713048705775).

Almost surely, 232201003113032 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 32201003113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45635117169600).

32201003113032 is an abundant number, since it is smaller than the sum of its proper divisors (59069231226168).

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

32201003113032 is a wasteful number, since it uses less digits than its factorization.

32201003113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734015 (or 734011 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 32201003113032 its reverse (23031130010223), we get a palindrome (55232133123255).

The spelling of 32201003113032 in words is "thirty-two trillion, two hundred one billion, three million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928 7477 14954 22431 29908 44862 59816 89724 97201 142063 179448 194402 284126 291603 388804 426189 568252 583206 726497 777608 852378 1136504 1166412 1452994 1704756 1846819 2179491 2332824 2905988 3409512 3693638 4358982 5540457 5811976 7387276 8717964 9444461 11080914 13803443 14774552 17435928 18888922 22161828 27606886 28333383 37777844 41410329 44323656 55213772 56666766 75555688 82820658 110427544 113333532 165641316 179444759 226667064 331282632 358889518 538334277 717779036 1076668554 1435558072 2153337108 4306674216 5432018069 10864036138 16296054207 21728072276 32592108414 43456144552 65184216828 70616234897 103208343311 130368433656 141232469794 206416686622 211848704691 282464939588 309625029933 412833373244 423697409382 564929879176 619250059866 825666746488 847394818764 1238500119732 1341708463043 1694789637528 2477000239464 2683416926086 4025125389129 5366833852172 8050250778258 10733667704344 16100501556516 32201003113032