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13010001200220 = 22353711235218487
BaseRepresentation
bin1011110101010010000010…
…0000000000010001011100
31201001202002100112010210110
42331110200200000101130
53201123440301401340
643400413445010020
72511640646402463
oct275244040002134
951052070463713
1013010001200220
114166568564522
1215615130b3910
13734ab79a5c7b
1432d98a3bb9da
151786476d0680
hexbd52080045c

13010001200220 has 96 divisors (see below), whose sum is σ = 37445865988608. Its totient is φ = 3372561384192.

The previous prime is 13010001200143. The next prime is 13010001200237. The reversal of 13010001200220 is 2200210001031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13010001200196 and 13010001200205.

It is a congruent number.

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, 116184 + ... + 5102303.

It is an arithmetic number, because the mean of its divisors is an integer number (390061104048).

Almost surely, 213010001200220 is an apocalyptic number.

13010001200220 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 13010001200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722932994304).

13010001200220 is an abundant number, since it is smaller than the sum of its proper divisors (24435864788388).

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

13010001200220 is a wasteful number, since it uses less digits than its factorization.

13010001200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219659 (or 5219657 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13010001200220 its reverse (2200210001031), we get a palindrome (15210211201251).

The spelling of 13010001200220 in words is "thirteen trillion, ten billion, one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1123 2220 2246 3369 4492 5615 6738 11230 13476 16845 22460 33690 41551 67380 83102 124653 166204 207755 249306 415510 498612 623265 831020 1246530 2493060 5218487 10436974 15655461 20873948 26092435 31310922 52184870 62621844 78277305 104369740 156554610 193084019 313109220 386168038 579252057 772336076 965420095 1158504114 1930840190 2317008228 2896260285 3861680380 5792520570 5860360901 11585041140 11720721802 17581082703 23441443604 29301804505 35162165406 58603609010 70324330812 87905413515 117207218020 175810827030 216833353337 351621654060 433666706674 650500060011 867333413348 1084166766685 1301000120022 2168333533370 2602000240044 3252500300055 4336667066740 6505000600110 13010001200220