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10022101200120 = 23352316073225919
BaseRepresentation
bin1001000111010111001111…
…0010000010110011111000
31022111002210110112112202210
42101311303302002303320
52303200230401400440
633152031214255120
72053034003424132
oct221656362026370
938432713475683
1010022101200120
113214392940869
12115a4254b74a0
13579106c51329
142691024d4052
15125a703b1a80
hex91d73c82cf8

10022101200120 has 128 divisors (see below), whose sum is σ = 31375625011200. Its totient is φ = 2556191683584.

The previous prime is 10022101200073. The next prime is 10022101200161. The reversal of 10022101200120 is 2100210122001.

10022101200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10022101200096 and 10022101200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44248521 + ... + 44474439.

It is an arithmetic number, because the mean of its divisors is an integer number (245122070400).

Almost surely, 210022101200120 is an apocalyptic number.

10022101200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022101200120 is an abundant number, since it is smaller than the sum of its proper divisors (21353523811080).

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

10022101200120 is a wasteful number, since it uses less digits than its factorization.

10022101200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242029 (or 242025 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022101200120 its reverse (2100210122001), we get a palindrome (12122311322121).

The spelling of 10022101200120 in words is "ten trillion, twenty-two billion, one hundred one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 16073 32146 48219 64292 80365 96438 128584 160730 192876 225919 241095 321460 369679 385752 451838 482190 642920 677757 739358 903676 964380 1109037 1129595 1355514 1478716 1807352 1848395 1928760 2218074 2259190 2711028 2957432 3388785 3696790 4436148 4518380 5196137 5422056 5545185 6777570 7393580 8872296 9036760 10392274 11090370 13555140 14787160 15588411 20784548 22180740 25980685 27110280 31176822 41569096 44361480 51961370 62353644 77942055 103922740 124707288 155884110 207845480 311768220 623536440 3631196087 7262392174 10893588261 14524784348 18155980435 21787176522 29049568696 36311960870 43574353044 54467941305 72623921740 83517510001 87148706088 108935882610 145247843480 167035020002 217871765220 250552530003 334070040004 417587550005 435743530440 501105060006 668140080008 835175100010 1002210120012 1252762650015 1670350200020 2004420240024 2505525300030 3340700400040 5011050600060 10022101200120