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31130322220332 = 223229353601140551
BaseRepresentation
bin1110001010000000101111…
…10011000011010100101100
311002020000210200100220210100
413011000113303003110230
513040014344442022312
6150113023403111100
76362043255626406
oct705002763032454
9132200720326710
1031130322220332
119a12328366a75
1235a9321b12490
13144a76628a31a
14798a039b7b76
1538eb878015dc
hex1c5017cc352c

31130322220332 has 144 divisors (see below), whose sum is σ = 81771022831680. Its totient is φ = 9973877760000.

The previous prime is 31130322220331. The next prime is 31130322220451. The reversal of 31130322220332 is 23302222303113.

31130322220332 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 0 + 322 + 2 + 2 + 0 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31130322220296 and 31130322220305.

It is not an unprimeable number, because it can be changed into a prime (31130322220331) 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, 221417457 + ... + 221558007.

It is an arithmetic number, because the mean of its divisors is an integer number (567854325220).

Almost surely, 231130322220332 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 31130322220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40885511415840).

31130322220332 is an abundant number, since it is smaller than the sum of its proper divisors (50640700611348).

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

31130322220332 is a wasteful number, since it uses less digits than its factorization.

31130322220332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141544 (or 141539 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 31130322220332 its reverse (23302222303113), we get a palindrome (54432544523445).

The spelling of 31130322220332 in words is "thirty-one trillion, one hundred thirty billion, three hundred twenty-two million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 353 522 601 706 1044 1059 1202 1412 1803 2118 2404 3177 3606 4236 5409 6354 7212 10237 10818 12708 17429 20474 21636 30711 34858 40948 52287 61422 69716 92133 104574 122844 140551 156861 184266 209148 212153 281102 313722 368532 421653 424306 562204 627444 636459 843306 848612 1264959 1272918 1686612 1909377 2529918 2545836 3818754 4075979 5059836 6152437 7637508 8151958 12227937 12304874 16303916 18457311 24455874 24609748 36683811 36914622 48911748 49614503 55371933 73367622 73829244 84471151 99229006 110743866 146735244 148843509 168942302 198458012 221487732 253413453 297687018 337884604 446530527 506826906 595374036 760240359 893061054 1013653812 1438820587 1520480718 1786122108 2449663379 2877641174 3040961436 4316461761 4899326758 5755282348 7348990137 8632923522 9798653516 12949385283 14697980274 17265847044 22046970411 25898770566 29395960548 29818316303 44093940822 51797541132 59636632606 88187881644 89454948909 119273265212 178909897818 268364846727 357819795636 536729693454 864731172787 1073459386908 1729462345574 2594193518361 3458924691148 5188387036722 7782580555083 10376774073444 15565161110166 31130322220332