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122230313213100 = 223521727188438111
BaseRepresentation
bin11011110010101011110110…
…011001100101110010101100
3121000210002210200120100101020
4123302223312121211302230
5112010110140140304400
61111543455233214140
734513564051535631
oct3362536631456254
9530702720510336
10122230313213100
1135a456482a8924
1211861078701350
13532836621b2a1
142227d9b89c188
15e1e756e502a0
hex6f2af6665cac

122230313213100 has 144 divisors (see below), whose sum is σ = 375837920833536. Its totient is φ = 30564210816000.

The previous prime is 122230313212999. The next prime is 122230313213119. The reversal of 122230313213100 is 1312313032221.

It is a super-2 number, since 2×1222303132131002 (a number of 29 digits) contains 22 as substring.

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, 42836956 + ... + 45601155.

It is an arithmetic number, because the mean of its divisors is an integer number (2609985561344).

Almost surely, 2122230313213100 is an apocalyptic number.

122230313213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122230313213100 is an abundant number, since it is smaller than the sum of its proper divisors (253607607620436).

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

122230313213100 is a wasteful number, since it uses less digits than its factorization.

122230313213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88438416 (or 88438409 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122230313213100 its reverse (1312313032221), we get a palindrome (123542626245321).

The spelling of 122230313213100 in words is "one hundred twenty-two trillion, two hundred thirty billion, three hundred thirteen million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 271 300 340 425 510 542 813 850 1020 1084 1275 1355 1626 1700 2550 2710 3252 4065 4607 5100 5420 6775 8130 9214 13550 13821 16260 18428 20325 23035 27100 27642 40650 46070 55284 69105 81300 92140 115175 138210 230350 276420 345525 460700 691050 1382100 88438111 176876222 265314333 353752444 442190555 530628666 884381110 1061257332 1326571665 1503447887 1768762220 2210952775 2653143330 3006895774 4421905550 4510343661 5306286660 6013791548 6632858325 7517239435 8843811100 9020687322 13265716650 15034478870 18041374644 22551718305 23966728081 26531433300 30068957740 37586197175 45103436610 47933456162 71900184243 75172394350 90206873220 95866912324 112758591525 119833640405 143800368486 150344788700 225517183050 239667280810 287600736972 359500921215 407434377377 451034366100 479334561620 599168202025 719001842430 814868754754 1198336404050 1222303132131 1438003684860 1629737509508 1797504606075 2037171886885 2396672808100 2444606264262 3595009212150 4074343773770 4889212528524 6111515660655 7190018424300 8148687547540 10185859434425 12223031321310 20371718868850 24446062642620 30557578303275 40743437737700 61115156606550 122230313213100