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12002221010310 = 23537137405119483
BaseRepresentation
bin1010111010100111110000…
…0111101010110110000110
31120111101211102022010011120
42232221330013222312012
53033121022034312220
641305424430014410
72346063140206146
oct256517407526606
946441742263146
1012002221010310
113908127954813
12141a13b647406
13690a5c89947b
142d6ca6968926
1515c312ddca40
hexaea7c1ead86

12002221010310 has 128 divisors (see below), whose sum is σ = 29808679463424. Its totient is φ = 3090437452800.

The previous prime is 12002221010291. The next prime is 12002221010321. The reversal of 12002221010310 is 1301012220021.

It is a super-2 number, since 2×120022210103102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12002221010310.

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, 616025829 + ... + 616045311.

It is an arithmetic number, because the mean of its divisors is an integer number (232880308308).

Almost surely, 212002221010310 is an apocalyptic number.

12002221010310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002221010310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904339731712).

12002221010310 is an abundant number, since it is smaller than the sum of its proper divisors (17806458453114).

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

12002221010310 is a wasteful number, since it uses less digits than its factorization.

12002221010310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23718.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12002221010310 its reverse (1301012220021), we get a palindrome (13303233230331).

The spelling of 12002221010310 in words is "twelve trillion, two billion, two hundred twenty-one million, ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 137 185 222 274 370 411 555 685 822 1110 1370 2055 4051 4110 5069 8102 10138 12153 15207 19483 20255 24306 25345 30414 38966 40510 50690 58449 60765 76035 97415 116898 121530 149887 152070 194830 292245 299774 449661 554987 584490 720871 749435 899322 1109974 1441742 1498870 1664961 2162613 2248305 2669171 2774935 3329922 3604355 4325226 4496610 5338342 5549870 7208710 8007513 8324805 10813065 13345855 16015026 16649610 20534519 21626130 26691710 40037565 41069038 61603557 78925633 80075130 98759327 102672595 123207114 157851266 197518654 205345190 236776899 296277981 308017785 394628165 473553798 493796635 592555962 616035570 789256330 987593270 1183884495 1481389905 2367768990 2920248421 2962779810 5840496842 8760745263 10812811721 14601242105 17521490526 21625623442 29202484210 32438435163 43803726315 54064058605 64876870326 87607452630 108128117210 162192175815 324384351630 400074033677 800148067354 1200222101031 2000370168385 2400444202062 4000740336770 6001110505155 12002221010310