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13420432212 = 22311714013571
BaseRepresentation
bin11000111111110101…
…11000101101010100
31021122021220121000220
430133322320231110
5204441112312322
610055410234340
7653366535345
oct143772705524
937567817026
1013420432212
1157675363a0
1227265859b0
13135b518365
1491452c0cc
155382ee55c
hex31feb8b54

13420432212 has 96 divisors (see below), whose sum is σ = 34738357248. Its totient is φ = 3998400000.

The previous prime is 13420432211. The next prime is 13420432229. The reversal of 13420432212 is 21223402431.

It is a happy number.

It is a super-3 number, since 3×134204322123 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420432211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3756387 + ... + 3759957.

It is an arithmetic number, because the mean of its divisors is an integer number (361857888).

Almost surely, 213420432212 is an apocalyptic number.

13420432212 is a gapful number since it is divisible by the number (12) 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 13420432212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17369178624).

13420432212 is an abundant number, since it is smaller than the sum of its proper divisors (21317925036).

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

13420432212 is a wasteful number, since it uses less digits than its factorization.

13420432212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13420432212 its reverse (21223402431), we get a palindrome (34643834643).

The spelling of 13420432212 in words is "thirteen billion, four hundred twenty million, four hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 401 426 781 802 852 1203 1562 1604 2343 2406 3124 3571 4411 4686 4812 7142 8822 9372 10713 13233 14284 17644 21426 26466 28471 39281 42852 52932 56942 78562 85413 113884 117843 157124 170826 235686 253541 313181 341652 471372 507082 626362 760623 939543 1014164 1252724 1431971 1521246 1879086 2788951 2863942 3042492 3758172 4295913 5577902 5727884 8366853 8591826 11155804 15751681 16733706 17183652 31503362 33467412 47255043 63006724 94510086 101669941 189020172 203339882 305009823 406679764 610019646 1118369351 1220039292 2236738702 3355108053 4473477404 6710216106 13420432212