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102222022013320 = 235117115232148491
BaseRepresentation
bin10111001111100001101011…
…010011110111000110001000
3111101221022220110202020211011
4113033201223103313012020
5101344301200113411240
61001224052034013304
730350203666465636
oct2717415323670610
9441838813666734
10102222022013320
112a63113055a770
12b56b390417234
1345066592880a1
141b35802414356
15bc406924c6ea
hex5cf86b4f7188

102222022013320 has 128 divisors (see below), whose sum is σ = 254609708590080. Its totient is φ = 36624019936000.

The previous prime is 102222022013303. The next prime is 102222022013389. The reversal of 102222022013320 is 23310220222201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102222022013291 and 102222022013300.

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, 46504275 + ... + 48652765.

It is an arithmetic number, because the mean of its divisors is an integer number (1989138348360).

Almost surely, 2102222022013320 is an apocalyptic number.

102222022013320 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 102222022013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127304854295040).

102222022013320 is an abundant number, since it is smaller than the sum of its proper divisors (152387686576760).

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

102222022013320 is a wasteful number, since it uses less digits than its factorization.

102222022013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150107 (or 2150103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102222022013320 its reverse (23310220222201), we get a palindrome (125532242235521).

The spelling of 102222022013320 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1523 1562 2840 3046 3124 3905 6092 6248 7615 7810 12184 15230 15620 16753 30460 31240 33506 60920 67012 83765 108133 134024 167530 216266 335060 432532 540665 670120 865064 1081330 1189463 2148491 2162660 2378926 4296982 4325320 4757852 5947315 8593964 9515704 10742455 11894630 17187928 21484910 23633401 23789260 42969820 47266802 47578520 85939640 94533604 118167005 152542861 189067208 236334010 305085722 472668020 610171444 762714305 945336040 1220342888 1525428610 1677971471 3050857220 3272151793 3355942942 6101714440 6544303586 6711885884 8389857355 13088607172 13423771768 16360758965 16779714710 26177214344 32721517930 33559429420 35993669723 65443035860 67118858840 71987339446 130886071720 143974678892 179968348615 232322777303 287949357784 359936697230 464645554606 719873394460 929291109212 1161613886515 1439746788920 1858582218424 2323227773030 2555550550333 4646455546060 5111101100666 9292911092120 10222202201332 12777752751665 20444404402664 25555505503330 51111011006660 102222022013320