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23420022342030 = 23351371813498037
BaseRepresentation
bin1010101001100111001100…
…00111001100000110001110
310001220221011121212111212000
411110303212013030012032
511032203201204421110
6121451002034053130
74635016662206016
oct524634607140616
9101827147774760
1023420022342030
11750a415065016
122762b5a11a1a6
13100b663650022
145ad76c576c46
152a931dba41c0
hex154ce61cc18e

23420022342030 has 128 divisors (see below), whose sum is σ = 63256840133760. Its totient is φ = 6165498332160.

The previous prime is 23420022342029. The next prime is 23420022342089. The reversal of 23420022342030 is 3024322002432.

It is a happy number.

23420022342030 is a `hidden beast` number, since 2 + 3 + 4 + 200 + 2 + 2 + 3 + 420 + 30 = 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 = 23420022341985 and 23420022342003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4946172 + ... + 8444208.

It is an arithmetic number, because the mean of its divisors is an integer number (494194063545).

Almost surely, 223420022342030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23420022342030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31628420066880).

23420022342030 is an abundant number, since it is smaller than the sum of its proper divisors (39836817791730).

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

23420022342030 is a wasteful number, since it uses less digits than its factorization.

23420022342030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498371 (or 3498365 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 23420022342030 its reverse (3024322002432), we get a palindrome (26444344344462).

The spelling of 23420022342030 in words is "twenty-three trillion, four hundred twenty billion, twenty-two million, three hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 137 181 270 274 362 411 543 685 822 905 1086 1233 1370 1629 1810 2055 2466 2715 3258 3699 4110 4887 5430 6165 7398 8145 9774 12330 16290 18495 24435 24797 36990 48870 49594 74391 123985 148782 223173 247970 371955 446346 669519 743910 1115865 1339038 2231730 3347595 3498037 6695190 6996074 10494111 17490185 20988222 31482333 34980370 52470555 62964666 94446999 104941110 157411665 188893998 314823330 472234995 479231069 633144697 944469990 958462138 1266289394 1437693207 1899434091 2396155345 2875386414 3165723485 3798868182 4313079621 4792310690 5698302273 6331446970 7188466035 8626159242 9497170455 11396604546 12939238863 14376932070 17094906819 18994340910 21565398105 25878477726 28491511365 34189813638 43130796210 56983022730 64696194315 85474534095 86740823489 129392388630 170949068190 173481646978 260222470467 433704117445 520444940934 780667411401 867408234890 1301112352335 1561334822802 2342002234203 2602224704670 3903337057005 4684004468406 7806674114010 11710011171015 23420022342030