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12401103520 = 2551337161137
BaseRepresentation
bin10111000110010100…
…11101001010100000
31012000020212022221101
423203022131022200
5200344140303040
65410314404144
7616211432521
oct134312351240
935006768841
1012401103520
115294110693
1224a1130654
1312282a14a0
14858dcc848
154c8aa109a
hex2e329d2a0

12401103520 has 96 divisors (see below), whose sum is σ = 32404207248. Its totient is φ = 4455088128.

The previous prime is 12401103493. The next prime is 12401103523. The reversal of 12401103520 is 2530110421.

It can be written as a sum of positive squares in 8 ways, for example, as 9109557136 + 3291546384 = 95444^2 + 57372^2 .

It is not an unprimeable number, because it can be changed into a prime (12401103523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3609 + ... + 157528.

Almost surely, 212401103520 is an apocalyptic number.

12401103520 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 12401103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202103624).

12401103520 is an abundant number, since it is smaller than the sum of its proper divisors (20003103728).

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

12401103520 is a wasteful number, since it uses less digits than its factorization.

12401103520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161202 (or 161194 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 12401103520 its reverse (2530110421), we get a palindrome (14931213941).

It can be divided in two parts, 12401 and 103520, that added together give a triangular number (115921 = T481).

The spelling of 12401103520 in words is "twelve billion, four hundred one million, one hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 148 160 185 208 260 296 370 416 481 520 592 740 962 1040 1184 1480 1924 2080 2405 2960 3848 4810 5920 7696 9620 15392 19240 38480 76960 161137 322274 644548 805685 1289096 1611370 2094781 2578192 3222740 4189562 5156384 5962069 6445480 8379124 10473905 11924138 12890960 16758248 20947810 23848276 25781920 29810345 33516496 41895620 47696552 59620690 67032992 77506897 83791240 95393104 119241380 155013794 167582480 190786208 238482760 310027588 335164960 387534485 476965520 620055176 775068970 953931040 1240110352 1550137940 2480220704 3100275880 6200551760 12401103520