Search a number
-
+
13121432414420 = 225111011060755673
BaseRepresentation
bin1011111011110001001001…
…0100010110100011010100
31201110101201012000022221212
42332330102110112203110
53204440143144230140
643523523002400552
72522664220162211
oct276742224264324
951411635008855
1013121432414420
1141a984a582a90
12157b031200158
13742465860185
1433511b6bab08
1517b4ba286765
hexbef125168d4

13121432414420 has 96 divisors (see below), whose sum is σ = 30361040027136. Its totient is φ = 4723657856000.

The previous prime is 13121432414413. The next prime is 13121432414443. The reversal of 13121432414420 is 2441423412131.

13121432414420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 235659704 + ... + 235715376.

It is an arithmetic number, because the mean of its divisors is an integer number (316260833616).

Almost surely, 213121432414420 is an apocalyptic number.

13121432414420 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 13121432414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180520013568).

13121432414420 is an abundant number, since it is smaller than the sum of its proper divisors (17239607612716).

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

13121432414420 is a wasteful number, since it uses less digits than its factorization.

13121432414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66401 (or 66399 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13121432414420 its reverse (2441423412131), we get a palindrome (15562855826551).

The spelling of 13121432414420 in words is "thirteen trillion, one hundred twenty-one billion, four hundred thirty-two million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 10607 11110 21214 22220 42428 53035 55673 106070 111346 116677 212140 222692 233354 278365 466708 556730 583385 612403 1071307 1113460 1166770 1224806 2142614 2333540 2449612 3062015 4285228 5356535 5622973 6124030 10713070 11245946 11784377 12248060 21426140 22491892 23568754 28114865 47137508 56229730 58921885 61852703 112459460 117843770 123705406 235687540 247410812 309263515 590523511 618527030 1181047022 1237054060 2362094044 2952617555 5905235110 6495758621 11810470220 12991517242 25983034484 32478793105 59642874611 64957586210 119285749222 129915172420 238571498444 298214373055 596428746110 656071620721 1192857492220 1312143241442 2624286482884 3280358103605 6560716207210 13121432414420