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13300122420 = 22325137971947
BaseRepresentation
bin11000110001011111…
…11100001100110100
31021022220112020000200
430120233330030310
5204214312404140
610035431440500
7650406114054
oct143057741464
937286466020
1013300122420
115705632912
1226b2226130
13133c613430
14902571564
1552c987030
hex318bfc334

13300122420 has 144 divisors (see below), whose sum is σ = 43997640960. Its totient is φ = 3232389888.

The previous prime is 13300122413. The next prime is 13300122467. The reversal of 13300122420 is 2422100331.

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 = 13300122393 and 13300122402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148887 + ... + 220833.

Almost surely, 213300122420 is an apocalyptic number.

13300122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998820480).

13300122420 is an abundant number, since it is smaller than the sum of its proper divisors (30697518540).

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

13300122420 is a wasteful number, since it uses less digits than its factorization.

13300122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72054 (or 72049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13300122420 its reverse (2422100331), we get a palindrome (15722222751).

The spelling of 13300122420 in words is "thirteen billion, three hundred million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 79 90 117 130 156 158 180 195 234 237 260 316 390 395 468 474 585 711 780 790 948 1027 1170 1185 1422 1580 2054 2340 2370 2844 3081 3555 4108 4740 5135 6162 7110 9243 10270 12324 14220 15405 18486 20540 30810 36972 46215 61620 71947 92430 143894 184860 215841 287788 359735 431682 647523 719470 863364 935311 1079205 1295046 1438940 1870622 2158410 2590092 2805933 3237615 3741244 4316820 4676555 5611866 5683813 6475230 8417799 9353110 11223732 11367626 12950460 14029665 16835598 17051439 18706220 22735252 28059330 28419065 33671196 34102878 42088995 51154317 56118660 56838130 68205756 73889569 84177990 85257195 102308634 113676260 147779138 168355980 170514390 204617268 221668707 255771585 295558276 341028780 369447845 443337414 511543170 665006121 738895690 886674828 1023086340 1108343535 1330012242 1477791380 2216687070 2660024484 3325030605 4433374140 6650061210 13300122420