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104321220422202 = 23372719434923339
BaseRepresentation
bin10111101110000100101101…
…010010010010101000111010
3111200101000022012220101202000
4113232010231102102220322
5102133144324412002302
61005512301305121430
730654650043531120
oct2756045522225072
9450330265811660
10104321220422202
1130270421309353
12b84a199789276
1346295ab23ca04
141ba92616a3910
15c0d97adc631c
hex5ee12d492a3a

104321220422202 has 128 divisors (see below), whose sum is σ = 265112524800000. Its totient is φ = 29786973483456.

The previous prime is 104321220422179. The next prime is 104321220422249. The reversal of 104321220422202 is 202224022123401.

104321220422202 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 12 + 20 + 422 + 202 = 666.

It is a super-2 number, since 2×1043212204222022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4469812249 + ... + 4469835587.

It is an arithmetic number, because the mean of its divisors is an integer number (2071191600000).

Almost surely, 2104321220422202 is an apocalyptic number.

104321220422202 is an abundant number, since it is smaller than the sum of its proper divisors (160791304377798).

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

104321220422202 is a wasteful number, since it uses less digits than its factorization.

104321220422202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30425 (or 30419 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 104321220422202 its reverse (202224022123401), we get a palindrome (306545242545603).

The spelling of 104321220422202 in words is "one hundred four trillion, three hundred twenty-one billion, two hundred twenty million, four hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 2719 4349 5438 8157 8698 13047 16314 19033 23339 24471 26094 30443 38066 39141 46678 48942 57099 60886 70017 73413 78282 91329 114198 117423 140034 146826 163373 171297 182658 210051 234846 273987 326746 342594 420102 490119 513891 547974 630153 821961 980238 1027782 1260306 1470357 1643922 2940714 4411071 8822142 11824931 23649862 35474793 63458741 70949586 82774517 101501311 106424379 126917482 165549034 190376223 203002622 212848758 248323551 304503933 319273137 380752446 444211187 496647102 571128669 609007866 638546274 710509177 744970653 888422374 913511799 1142257338 1332633561 1421018354 1489941306 1713386007 1827023598 2131527531 2234911959 2665267122 2740535397 3426772014 3997900683 4263055062 4469823918 5481070794 6394582593 7995801366 11993702049 12789165186 19183747779 23987404098 38367495558 275982064609 551964129218 827946193827 1655892387654 1931874452263 2483838581481 3863748904526 4967677162962 5795623356789 7451515744443 11591246713578 14903031488886 17386870070367 34773740140734 52160610211101 104321220422202