Search a number
-
+
10134442411310 = 2571032834966817
BaseRepresentation
bin1001001101111001101111…
…0101110000010100101110
31022212211202201100101010102
42103132123311300110232
52312020314224130220
633315410520311102
72064121634110160
oct223363365602456
938784681311112
1010134442411310
113257aa159a558
121178158312492
1358689b4c22a9
1427071c5d2930
15128947cbb775
hex9379bd7052e

10134442411310 has 64 divisors (see below), whose sum is σ = 21124790848512. Its totient is φ = 3428771890176.

The previous prime is 10134442411279. The next prime is 10134442411381. The reversal of 10134442411310 is 1311424443101.

It is a happy number.

It is a super-2 number, since 2×101344424113102 (a number of 27 digits) contains 22 as substring.

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, 442979 + ... + 4523838.

It is an arithmetic number, because the mean of its divisors is an integer number (330074857008).

Almost surely, 210134442411310 is an apocalyptic number.

10134442411310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10134442411310 is an abundant number, since it is smaller than the sum of its proper divisors (10990348437202).

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

10134442411310 is a wasteful number, since it uses less digits than its factorization.

10134442411310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967217.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 10134442411310 its reverse (1311424443101), we get a palindrome (11445866854411).

The spelling of 10134442411310 in words is "ten trillion, one hundred thirty-four billion, four hundred forty-two million, four hundred eleven thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 70 103 206 283 515 566 721 1030 1415 1442 1981 2830 3605 3962 7210 9905 19810 29149 58298 145745 204043 291490 408086 1020215 2040430 4966817 9933634 24834085 34767719 49668170 69535438 173838595 347677190 511582151 1023164302 1405609211 2557910755 2811218422 3581075057 5115821510 7028046055 7162150114 9839264477 14056092110 17905375285 19678528954 35810750570 49196322385 98392644770 144777748733 289555497466 723888743665 1013444241131 1447777487330 2026888482262 5067221205655 10134442411310