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102223100222300 = 225219721129383933
BaseRepresentation
bin10111001111100010101011…
…100100111001101101011100
3111101221102200121120221111002
4113033202223210321231130
5101344310402124103200
61001224351031445432
730350242501223231
oct2717425344715534
9441842617527432
10102223100222300
112a631634141072
12b56b631526878
13450679b779375
141b358a56bd788
15bc40cdc2bbd5
hex5cf8ab939b5c

102223100222300 has 144 divisors (see below), whose sum is σ = 224773980232032. Its totient is φ = 40350208281600.

The previous prime is 102223100222293. The next prime is 102223100222351. The reversal of 102223100222300 is 3222001322201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1217871134 + ... + 1217955066.

It is an arithmetic number, because the mean of its divisors is an integer number (1560930418278).

Almost surely, 2102223100222300 is an apocalyptic number.

102223100222300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102223100222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112386990116016).

102223100222300 is an abundant number, since it is smaller than the sum of its proper divisors (122550880009732).

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

102223100222300 is a wasteful number, since it uses less digits than its factorization.

102223100222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84648 (or 84641 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102223100222300 its reverse (3222001322201), we get a palindrome (105445101544501).

The spelling of 102223100222300 in words is "one hundred two trillion, two hundred twenty-three billion, one hundred million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 211 293 394 422 586 788 844 985 1055 1172 1465 1970 2110 2930 3940 4220 4925 5275 5860 7325 9850 10550 14650 19700 21100 29300 41567 57721 61823 83134 83933 115442 123646 166268 167866 207835 230884 247292 288605 309115 335732 415670 419665 577210 618230 831340 839330 1039175 1154420 1236460 1443025 1545575 1678660 2078350 2098325 2886050 3091150 4156700 4196650 5772100 6182300 8393300 12179131 16534801 17709863 24358262 24592369 33069602 35419726 48716524 49184738 60895655 66139204 70839452 82674005 88549315 98369476 121791310 122961845 165348010 177098630 243582620 245923690 304478275 330696020 354197260 413370025 442746575 491847380 608956550 614809225 826740050 885493150 1217913100 1229618450 1653480100 1770986300 2459236900 3488843011 4844696693 5188989859 6977686022 9689393386 10377979718 13955372044 17444215055 19378786772 20755959436 24223483465 25944949295 34888430110 48446966930 51889898590 69776860220 87221075275 96893933860 103779797180 121117417325 129724746475 174442150550 242234834650 259449492950 348884301100 484469669300 518898985900 1022231002223 2044462004446 4088924008892 5111155011115 10222310022230 20444620044460 25555775055575 51111550111150 102223100222300