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31132231020 = 223251185318433
BaseRepresentation
bin11100111111101000…
…000010010101101100
32222100122210012100100
4130333220002111230
51002224322343040
622145115431100
72151325411632
oct347750022554
988318705310
1031132231020
1112226372a50
12604a155490
132c21b1c397
141714977352
15c23229b30
hex73fa0256c

31132231020 has 144 divisors (see below), whose sum is σ = 103145751072. Its totient is φ = 7537950720.

The previous prime is 31132230973. The next prime is 31132231021. The reversal of 31132231020 is 2013223113.

31132231020 is a `hidden beast` number, since 3 + 11 + 322 + 310 + 20 = 666.

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 = 31132230984 and 31132231002.

It is not an unprimeable number, because it can be changed into a prime (31132231021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679724 + ... + 1698156.

It is an arithmetic number, because the mean of its divisors is an integer number (716289938).

Almost surely, 231132231020 is an apocalyptic number.

31132231020 is a gapful number since it is divisible by the number (30) 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 31132231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51572875536).

31132231020 is an abundant number, since it is smaller than the sum of its proper divisors (72013520052).

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

31132231020 is a wasteful number, since it uses less digits than its factorization.

31132231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19312 (or 19307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31132231020 its reverse (2013223113), we get a palindrome (33145454133).

The spelling of 31132231020 in words is "thirty-one billion, one hundred thirty-two million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 853 990 1706 1980 2559 3412 4265 5118 7677 8530 9383 10236 12795 15354 17060 18433 18766 25590 28149 30708 36866 37532 38385 46915 51180 55299 56298 73732 76770 84447 92165 93830 110598 112596 140745 153540 165897 168894 184330 187660 202763 221196 276495 281490 331794 337788 368660 405526 422235 552990 562980 608289 663588 811052 829485 844470 1013815 1105980 1216578 1658970 1688940 1824867 2027630 2433156 3041445 3317940 3649734 4055260 6082890 7299468 9124335 12165780 15723349 18248670 31446698 36497340 47170047 62893396 78616745 94340094 141510141 157233490 172956839 188680188 235850235 283020282 314466980 345913678 471700470 518870517 566040564 691827356 707550705 864784195 943400940 1037741034 1415101410 1556611551 1729568390 2075482068 2594352585 2830202820 3113223102 3459136780 5188705170 6226446204 7783057755 10377410340 15566115510 31132231020