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10130143122 = 2331167331769
BaseRepresentation
bin10010110111100110…
…11011011110010010
3222010222122120221000
421123303123132102
5131221304034442
64353112042430
7506014536651
oct113363333622
928128576830
1010130143122
114329224510
121b68693416
13c55956138
146c155d198
153e4518d4c
hex25bcdb792

10130143122 has 128 divisors (see below), whose sum is σ = 25032268800. Its totient is φ = 3010867200.

The previous prime is 10130143117. The next prime is 10130143129. The reversal of 10130143122 is 22134103101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10130143095 and 10130143104.

It is not an unprimeable number, because it can be changed into a prime (10130143129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13172754 + ... + 13173522.

It is an arithmetic number, because the mean of its divisors is an integer number (195564600).

Almost surely, 210130143122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130143122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12516134400).

10130143122 is an abundant number, since it is smaller than the sum of its proper divisors (14902125678).

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

10130143122 is a wasteful number, since it uses less digits than its factorization.

10130143122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10130143122 its reverse (22134103101), we get a palindrome (32264246223).

The spelling of 10130143122 in words is "ten billion, one hundred thirty million, one hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 99 134 198 201 297 331 402 594 603 662 737 769 993 1206 1474 1538 1809 1986 2211 2307 2979 3618 3641 4422 4614 5958 6633 6921 7282 8459 8937 10923 13266 13842 16918 17874 19899 20763 21846 22177 25377 32769 39798 41526 44354 50754 51523 65538 66531 76131 98307 103046 133062 152262 154569 196614 199593 228393 243947 254539 309138 399186 456786 463707 487894 509078 566753 598779 731841 763617 927414 1133506 1197558 1391121 1463682 1527234 1700259 2195523 2290851 2782242 2799929 3400518 4391046 4581702 5100777 5599858 6586569 6872553 8399787 10201554 13173138 13745106 15302331 16799574 17054113 25199361 30604662 34108226 50398722 51162339 75598083 102324678 151196166 153487017 187595243 306974034 375190486 460461051 562785729 920922102 1125571458 1688357187 3376714374 5065071561 10130143122