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122020223222100 = 22352790107644843
BaseRepresentation
bin11011101111101000001100…
…000011111000000101010100
3121000001000112011012000022110
4123233220030003320011110
5111443134404121101400
61111303152223431020
734462445611222350
oct3357501403700524
9530030464160273
10122020223222100
1135974538a48095
1211828405a55470
1353115c4693b48
14221bb4b710460
15e1905cc93e50
hex6efa0c0f8154

122020223222100 has 144 divisors (see below), whose sum is σ = 403485308287488. Its totient is φ = 27889983960960.

The previous prime is 122020223222081. The next prime is 122020223222123. The reversal of 122020223222100 is 1222322020221.

It is a super-2 number, since 2×1220202232221002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 188902279 + ... + 189547121.

It is an arithmetic number, because the mean of its divisors is an integer number (2801981307552).

Almost surely, 2122020223222100 is an apocalyptic number.

122020223222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020223222100 is an abundant number, since it is smaller than the sum of its proper divisors (281465085065388).

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

122020223222100 is a wasteful number, since it uses less digits than its factorization.

122020223222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734974 (or 734967 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 122020223222100 its reverse (1222322020221), we get a palindrome (123242545242321).

The spelling of 122020223222100 in words is "one hundred twenty-two trillion, twenty billion, two hundred twenty-three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 90107 180214 270321 360428 450535 540642 630749 644843 901070 1081284 1261498 1289686 1351605 1802140 1892247 1934529 2252675 2522996 2579372 2703210 3153745 3224215 3784494 3869058 4505350 4513901 5406420 6307490 6448430 6758025 7568988 7738116 9010700 9027802 9461235 9672645 12614980 12896860 13516050 13541703 15768725 16121075 18055604 18922470 19345290 22569505 27032100 27083406 31537450 32242150 37844940 38690580 45139010 47306175 48363225 54166812 63074900 64484300 67708515 90278020 94612350 96726450 112847525 135417030 189224700 193452900 225695050 270834060 338542575 451390100 677085150 1354170300 58104868201 116209736402 174314604603 232419472804 290524341005 348629209206 406734077407 581048682010 697258418412 813468154814 871573023015 1162097364020 1220202232221 1452621705025 1626936309628 1743146046030 2033670387035 2440404464442 2905243410050 3486292092060 4067340774070 4357865115075 4880808928884 5810486820100 6101011161105 8134681548140 8715730230150 10168351935175 12202022322210 17431460460300 20336703870350 24404044644420 30505055805525 40673407740700 61010111611050 122020223222100