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32122423400130 = 2335739742811061
BaseRepresentation
bin1110100110111000101011…
…01000101101011011000010
311012201212120220202200222000
413103130111220231123002
513202243210342301010
6152152500530324430
76523524411543210
oct723342550553302
9135655526680860
1032122423400130
11a265052641388
12372965a729716
1314c0192c7a54b
147d0a3ad73cb0
153aa8a08a67c0
hex1d3715a2d6c2

32122423400130 has 128 divisors (see below), whose sum is σ = 98143503413760. Its totient is φ = 7323773656320.

The previous prime is 32122423400107. The next prime is 32122423400131. The reversal of 32122423400130 is 3100432422123.

32122423400130 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 242 + 3 + 400 + 13 + 0 = 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 = 32122423400094 and 32122423400103.

It is not an unprimeable number, because it can be changed into a prime (32122423400131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20655201 + ... + 22155860.

It is an arithmetic number, because the mean of its divisors is an integer number (766746120420).

Almost surely, 232122423400130 is an apocalyptic number.

32122423400130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32122423400130 is an abundant number, since it is smaller than the sum of its proper divisors (66021080013630).

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

32122423400130 is a wasteful number, since it uses less digits than its factorization.

32122423400130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42811481 (or 42811475 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32122423400130 its reverse (3100432422123), we get a palindrome (35222855822253).

The spelling of 32122423400130 in words is "thirty-two trillion, one hundred twenty-two billion, four hundred twenty-three million, four hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 397 630 794 945 1191 1890 1985 2382 2779 3573 3970 5558 5955 7146 8337 10719 11910 13895 16674 17865 21438 25011 27790 35730 41685 50022 53595 75033 83370 107190 125055 150066 250110 375165 750330 42811061 85622122 128433183 214055305 256866366 299677427 385299549 428110610 599354854 642165915 770599098 899032281 1155898647 1284331830 1498387135 1798064562 1926497745 2311797294 2697096843 2996774270 3852995490 4495161405 5394193686 5779493235 8091290529 8990322810 11558986470 13485484215 16182581058 16995991217 26970968430 33991982434 40456452645 50987973651 80912905290 84979956085 101975947302 118971938519 152963920953 169959912170 237943877038 254939868255 305927841906 356915815557 458891762859 509879736510 594859692595 713831631114 764819604765 917783525718 1070747446671 1189719385190 1529639209530 1784579077785 2141494893342 2294458814295 3212242340013 3569158155570 4588917628590 5353737233355 6424484680026 10707474466710 16061211700065 32122423400130