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23312332310130 = 23656774723561
BaseRepresentation
bin1010100110011110100110…
…10010010100011001110010
310001112122012112002002000000
411103033103102110121302
511023422124032411010
6121325312043010430
74624155220064313
oct523172322243162
9101478175062000
1023312332310130
117478782924156
122746104b09a16
1310014608a8466
145a847409860a
152a661979b7c0
hex1533d3494672

23312332310130 has 112 divisors (see below), whose sum is σ = 63007461258264. Its totient is φ = 6207438032640.

The previous prime is 23312332310093. The next prime is 23312332310159. The reversal of 23312332310130 is 3101323321332.

23312332310130 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 2 + 332 + 310 + 13 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23191939271601 + 120393038529 = 4815801^2 + 346977^2 .

It is a super-2 number, since 2×233123323101302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23312332310094 and 23312332310103.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2573550 + ... + 7297110.

Almost surely, 223312332310130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23312332310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31503730629132).

23312332310130 is an abundant number, since it is smaller than the sum of its proper divisors (39695128948134).

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

23312332310130 is an equidigital number, since it uses as much as digits as its factorization.

23312332310130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724263 (or 4724248 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 23312332310130 its reverse (3101323321332), we get a palindrome (26413655631462).

The spelling of 23312332310130 in words is "twenty-three trillion, three hundred twelve billion, three hundred thirty-two million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 677 729 810 1215 1354 1458 2031 2430 3385 3645 4062 6093 6770 7290 10155 12186 18279 20310 30465 36558 54837 60930 91395 109674 164511 182790 274185 329022 493533 548370 822555 987066 1645110 2467665 4723561 4935330 9447122 14170683 23617805 28341366 42512049 47235610 70853415 85024098 127536147 141706830 212560245 255072294 382608441 425120490 637680735 765216882 1147825323 1275361470 1913042205 2295650646 3197850797 3443475969 3826084410 5739126615 6395701594 6886951938 9593552391 11478253230 15989253985 17217379845 19187104782 28780657173 31978507970 34434759690 47967761955 57561314346 86341971519 95935523910 143903285865 172683943038 259025914557 287806571730 431709857595 518051829114 777077743671 863419715190 1295129572785 1554155487342 2331233231013 2590259145570 3885388718355 4662466462026 7770777436710 11656166155065 23312332310130