Search a number
-
+
131403021011320 = 23519227281333563
BaseRepresentation
bin11101111000001010100110…
…011000111100100101111000
3122020021000011110120100200211
4131320022212120330211320
5114210401341334330240
61143245414155240504
736451361233424632
oct3570124630744570
9566230143510624
10131403021011320
1138961787766a93
12128a2951a49134
13584233701c106
142463d23abda52
15102d162a4cbea
hex7782a663c978

131403021011320 has 96 divisors (see below), whose sum is σ = 312049048615920. Its totient is φ = 49792854481920.

The previous prime is 131403021011309. The next prime is 131403021011323. The reversal of 131403021011320 is 23110120304131.

It is a junction number, because it is equal to n+sod(n) for n = 131403021011291 and 131403021011300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403021011323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393770859 + ... + 394104421.

Almost surely, 2131403021011320 is an apocalyptic number.

131403021011320 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 131403021011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156024524307960).

131403021011320 is an abundant number, since it is smaller than the sum of its proper divisors (180646027604600).

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

131403021011320 is a wasteful number, since it uses less digits than its factorization.

131403021011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360893 (or 360870 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131403021011320 its reverse (23110120304131), we get a palindrome (154513141315451).

The spelling of 131403021011320 in words is "one hundred thirty-one trillion, four hundred three billion, twenty-one million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 27281 54562 109124 136405 218248 272810 333563 518339 545620 667126 1036678 1091240 1334252 1667815 2073356 2591695 2668504 3335630 4146712 5183390 6337697 6671260 9848441 10366780 12675394 13342520 19696882 20733560 25350788 31688485 39393764 49242205 50701576 63376970 78787528 98484410 120416243 126753940 196968820 240832486 253507880 393937640 481664972 602081215 963329944 1204162430 2408324860 4816649720 9099932203 18199864406 36399728812 45499661015 72799457624 90999322030 172898711857 181998644060 345797423714 363997288120 691594847428 864493559285 1383189694856 1728987118570 3285075525283 3457974237140 6570151050566 6915948474280 13140302101132 16425377626415 26280604202264 32850755252830 65701510505660 131403021011320