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122001030313020 = 22355191321215403
BaseRepresentation
bin11011101111010110010100…
…000100101111010000111100
3120222222011222120100012200000
4123233112110010233100330
5111442331102230004040
61111250255525034300
734461166156204245
oct3357262404572074
9528864876305600
10122001030313020
113596738a062461
121182474a255990
13530c856282801
14221ac4a6bbccc
15e187d7d01130
hex6ef59412f43c

122001030313020 has 144 divisors (see below), whose sum is σ = 403974821927040. Its totient is φ = 30821312897856.

The previous prime is 122001030313009. The next prime is 122001030313027. The reversal of 122001030313020 is 20313030100221.

122001030313020 is a `hidden beast` number, since 1 + 2 + 200 + 10 + 303 + 130 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122001030312984 and 122001030313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001030313027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660515362 + ... + 660700041.

Almost surely, 2122001030313020 is an apocalyptic number.

122001030313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001030313020 is an abundant number, since it is smaller than the sum of its proper divisors (281973791614020).

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

122001030313020 is a wasteful number, since it uses less digits than its factorization.

122001030313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321215446 (or 1321215432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122001030313020 its reverse (20313030100221), we get a palindrome (142314060413241).

The spelling of 122001030313020 in words is "one hundred twenty-two trillion, one billion, thirty million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 540 570 684 810 855 972 1026 1140 1215 1539 1620 1710 2052 2430 2565 3078 3420 4617 4860 5130 6156 7695 9234 10260 15390 18468 23085 30780 46170 92340 1321215403 2642430806 3963646209 5284861612 6606077015 7927292418 11890938627 13212154030 15854584836 19818231045 23781877254 25103092657 26424308060 35672815881 39636462090 47563754508 50206185314 59454693135 71345631762 75309277971 79272924180 100412370628 107018447643 118909386270 125515463285 142691263524 150618555942 178364079405 214036895286 225927833913 237818772540 251030926570 301237111884 321055342929 356728158810 376546389855 428073790572 451855667826 502061853140 535092238215 642110685858 677783501739 713456317620 753092779710 903711335652 1070184476430 1129639169565 1284221371716 1355567003478 1506185559420 1605276714645 2033350505217 2140368952860 2259278339130 2711134006956 3210553429290 3388917508695 4066701010434 4518556678260 6100051515651 6421106858580 6777835017390 8133402020868 10166752526085 12200103031302 13555670034780 20333505052170 24400206062604 30500257578255 40667010104340 61000515156510 122001030313020