Search a number
-
+
122555340513450 = 2325213110318993319
BaseRepresentation
bin11011110111011010100011…
…100010010110000010101010
3121001221011202101202221222100
4123313122203202112002222
5112030421314132412300
61112353051324234230
734546221405155445
oct3367324342260252
9531834671687870
10122555340513450
1136060478788319
12118b406769b976
13534cbc4121650
1422399d285265c
15e27e2b8c5700
hex6f76a38960aa

122555340513450 has 144 divisors (see below), whose sum is σ = 354914951489280. Its totient is φ = 30140116467840.

The previous prime is 122555340513439. The next prime is 122555340513467. The reversal of 122555340513450 is 54315043555221.

122555340513450 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 53 + 40 + 513 + 45 + 0 = 666.

It is a super-2 number, since 2×1225553405134502 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 122555340513396 and 122555340513405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3044110 + ... + 15949209.

It is an arithmetic number, because the mean of its divisors is an integer number (2464687163120).

Almost surely, 2122555340513450 is an apocalyptic number.

122555340513450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122555340513450 is an abundant number, since it is smaller than the sum of its proper divisors (232359610975830).

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

122555340513450 is a wasteful number, since it uses less digits than its factorization.

122555340513450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18994453 (or 18994445 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 122555340513450 in words is "one hundred twenty-two trillion, five hundred fifty-five billion, three hundred forty million, five hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1103 1170 1950 2206 2925 3309 5515 5850 6618 9927 11030 14339 16545 19854 27575 28678 33090 43017 49635 55150 71695 82725 86034 99270 129051 143390 165450 215085 248175 258102 358475 430170 496350 645255 716950 1075425 1290510 2150850 3226275 6452550 18993319 37986638 56979957 94966595 113959914 170939871 189933190 246913147 284899785 341879742 474832975 493826294 569799570 740739441 854699355 949665950 1234565735 1424498925 1481478882 1709398710 2222218323 2469131470 2848997850 3703697205 4273496775 4444436646 6172828675 7407394410 8546993550 11111091615 12345657350 18518486025 20949630857 22222183230 37036972050 41899261714 55555458075 62848892571 104748154285 111110916150 125697785142 188546677713 209496308570 272345201141 314244462855 377093355426 523740771425 544690402282 628488925710 817035603423 942733388565 1047481542850 1361726005705 1571222314275 1634071206846 1885466777130 2451106810269 2723452011410 3142444628550 4085178017115 4713666942825 4902213620538 6808630028525 8170356034230 9427333885650 12255534051345 13617260057050 20425890085575 24511068102690 40851780171150 61277670256725 122555340513450