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232032131222130 = 232547469111693441
BaseRepresentation
bin110100110000100000110000…
…110000100000101001110010
31010102120001111011201212112200
4310300200300300200221302
5220403103301043102010
62141254031201204030
766605524342263411
oct6460406060405162
91112501434655480
10232032131222130
1167a29302011a18
122203546b330616
139c616c7a27765
1441425b4d61478
151bc5a4cb02cc0
hexd30830c20a72

232032131222130 has 96 divisors (see below), whose sum is σ = 616250754632448. Its totient is φ = 60545825894400.

The previous prime is 232032131222113. The next prime is 232032131222161. The reversal of 232032131222130 is 31222131230232.

232032131222130 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 321 + 3 + 122 + 213 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 232032131222094 and 232032131222103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13996210 + ... + 25689650.

It is an arithmetic number, because the mean of its divisors is an integer number (6419278694088).

Almost surely, 2232032131222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232032131222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308125377316224).

232032131222130 is an abundant number, since it is smaller than the sum of its proper divisors (384218623410318).

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

232032131222130 is a wasteful number, since it uses less digits than its factorization.

232032131222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11698192 (or 11698189 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 232032131222130 its reverse (31222131230232), we get a palindrome (263254262452362).

The spelling of 232032131222130 in words is "two hundred thirty-two trillion, thirty-two billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 4230 4691 9382 14073 23455 28146 42219 46910 70365 84438 140730 211095 220477 422190 440954 661431 1102385 1322862 1984293 2204770 3307155 3968586 6614310 9921465 11693441 19842930 23386882 35080323 58467205 70160646 105240969 116934410 175401615 210481938 350803230 526204845 549591727 1052409690 1099183454 1648775181 2747958635 3297550362 4946325543 5495917270 8243875905 9892651086 16487751810 24731627715 49463255430 54853931731 109707863462 164561795193 274269658655 329123590386 493685385579 548539317310 822808975965 987370771158 1645617951930 2468426927895 2578134791357 4936853855790 5156269582714 7734404374071 12890673956785 15468808748142 23203213122213 25781347913570 38672021870355 46406426244426 77344043740710 116016065611065 232032131222130