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122030214014430 = 2345377960676571
BaseRepresentation
bin11011101111110001011111…
…100011101110010111011110
3121000001222022102121211220000
4123233301133203232113132
5111443320334241430210
61111311523441035130
734463251314444651
oct3357613743562736
9530058272554800
10122030214014430
11359787a5543257
121182a333925aa6
1353125274a9297
14221c418557898
15e19444e33ac0
hex6efc5f8ee5de

122030214014430 has 160 divisors (see below), whose sum is σ = 328316570144640. Its totient is φ = 32522466893760.

The previous prime is 122030214014419. The next prime is 122030214014477. The reversal of 122030214014430 is 34410412030221.

122030214014430 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 3 + 0 + 214 + 0 + 1 + 443 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122030214014394 and 122030214014403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18571023045 + ... + 18571029615.

It is an arithmetic number, because the mean of its divisors is an integer number (2051978563404).

Almost surely, 2122030214014430 is an apocalyptic number.

122030214014430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122030214014430 is an abundant number, since it is smaller than the sum of its proper divisors (206286356130210).

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

122030214014430 is a wasteful number, since it uses less digits than its factorization.

122030214014430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16436 (or 16427 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122030214014430 its reverse (34410412030221), we get a palindrome (156440626044651).

The spelling of 122030214014430 in words is "one hundred twenty-two trillion, thirty billion, two hundred fourteen million, fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 3779 6067 6571 7558 11337 12134 13142 18201 18895 19713 22674 30335 32855 34011 36402 37790 39426 54603 56685 59139 60670 65710 68022 91005 98565 102033 109206 113370 118278 163809 170055 177417 182010 197130 204066 273015 295695 306099 327618 340110 354834 491427 510165 532251 546030 591390 612198 819045 887085 982854 1020330 1064502 1530495 1638090 1774170 2457135 2661255 3060990 4914270 5322510 22927193 24831809 39866257 45854386 49663618 68781579 74495427 79732514 114635965 119598771 124159045 137563158 148990854 199331285 206344737 223486281 229271930 239197542 248318090 343907895 358796313 372477135 398662570 412689474 446972562 597993855 619034211 670458843 687815790 717592626 744954270 1031723685 1076388939 1117431405 1195987710 1238068422 1340917686 1793981565 1857102633 2011376529 2063447370 2152777878 2234862810 3095171055 3229166817 3352294215 3587963130 3714205266 4022753058 5381944695 6190342110 6458333634 6704588430 9285513165 10056882645 10763889390 16145834085 18571026330 20113765290 32291668170 150654585203 301309170406 451963755609 753272926015 903927511218 1355891266827 1506545852030 2259818778045 2711782533654 4067673800481 4519637556090 6779456334135 8135347600962 12203021401443 13558912668270 20338369002405 24406042802886 40676738004810 61015107007215 122030214014430