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2302323132132 = 223447215370223
BaseRepresentation
bin100001100000001101001…
…001110000011011100100
322011002200212011012220000
4201200031021300123210
5300210124210212012
64521401142541300
7325223466504402
oct41401511603344
98132625135800
102302323132132
118084564286a1
12312257437830
1313915377707a
147d60c362472
153ed4e5cbddc
hex2180d2706e4

2302323132132 has 120 divisors (see below), whose sum is σ = 6149728037376. Its totient is φ = 750752952192.

The previous prime is 2302323132127. The next prime is 2302323132191. The reversal of 2302323132132 is 2312313232032.

2302323132132 is a `hidden beast` number, since 2 + 302 + 3 + 2 + 3 + 1 + 321 + 32 = 666.

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 = 2302323132096 and 2302323132105.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32750773 + ... + 32820995.

Almost surely, 22302323132132 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 2302323132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074864018688).

2302323132132 is an abundant number, since it is smaller than the sum of its proper divisors (3847404905244).

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

2302323132132 is a wasteful number, since it uses less digits than its factorization.

2302323132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72439 (or 72428 counting only the distinct ones).

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

Adding to 2302323132132 its reverse (2312313232032), we get a palindrome (4614636364164).

The spelling of 2302323132132 in words is "two trillion, three hundred two billion, three hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2153 2538 3807 4306 5076 6459 7614 8612 12918 15228 19377 25836 38754 58131 70223 77508 101191 116262 140446 174393 202382 210669 232524 280892 303573 348786 404764 421338 607146 632007 697572 842676 910719 1214292 1264014 1821438 1896021 2528028 2732157 3300481 3642876 3792042 5464314 5688063 6600962 7584084 8196471 9901443 10928628 11376126 13201924 16392942 19802886 22752252 29704329 32785884 39605772 59408658 89112987 118817316 151190119 178225974 267338961 302380238 356451948 453570357 534677922 604760476 907140714 1069355844 1360711071 1814281428 2721422142 4082133213 5442844284 7105935593 8164266426 12246399639 14211871186 16328532852 21317806779 24492799278 28423742372 42635613558 48985598556 63953420337 85271227116 127906840674 191860261011 255813681348 383720522022 575580783033 767441044044 1151161566066 2302323132132