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122310001320 = 233513174611991
BaseRepresentation
bin111000111101000111…
…1101000001010101000
3102200200222211211120220
41301322033220022220
54000442330020240
6132104411450040
711556645600063
oct1617217501250
9380628754526
10122310001320
1147964897321
121b855456920
13b6c2951860
145cc40598da
1532acba05d0
hex1c7a3e82a8

122310001320 has 128 divisors (see below), whose sum is σ = 418399914240. Its totient is φ = 28336066560.

The previous prime is 122310001249. The next prime is 122310001343. The reversal of 122310001320 is 23100013221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122310001320.

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, 2279476 + ... + 2332515.

It is an arithmetic number, because the mean of its divisors is an integer number (3268749330).

Almost surely, 2122310001320 is an apocalyptic number.

122310001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122310001320 is an abundant number, since it is smaller than the sum of its proper divisors (296089912920).

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

122310001320 is a wasteful number, since it uses less digits than its factorization.

122310001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612035 (or 4612031 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122310001320 its reverse (23100013221), we get a palindrome (145410014541).

The spelling of 122310001320 in words is "one hundred twenty-two billion, three hundred ten million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8840 13260 26520 4611991 9223982 13835973 18447964 23059955 27671946 36895928 46119910 55343892 59955883 69179865 78403847 92239820 110687784 119911766 138359730 156807694 179867649 184479640 235211541 239823532 276719460 299779415 313615388 359735298 392019235 470423082 479647064 553438920 599558830 627230776 719470596 784038470 899338245 940846164 1019250011 1176057705 1199117660 1438941192 1568076940 1798676490 1881692328 2038500022 2352115410 2398235320 3057750033 3136153880 3597352980 4077000044 4704230820 5096250055 6115500066 7194705960 8154000088 9408461640 10192500110 12231000132 15288750165 20385000220 24462000264 30577500330 40770000440 61155000660 122310001320