Search a number
-
+
31120023132030 = 2357161507917549
BaseRepresentation
bin1110001001101101100011…
…11011001001011101111110
311002012001012220211000122110
413010312301323021131332
513034332301410211110
6150104201413554450
76361230120053040
oct704666173113576
9132161186730573
1031120023132030
119a08a22840548
1235a7328945a26
1314497b4631031
14798307c3ba90
1538e783564a20
hex1c4db1ec977e

31120023132030 has 64 divisors (see below), whose sum is σ = 85358399270400. Its totient is φ = 7113096349824.

The previous prime is 31120023132001. The next prime is 31120023132091. The reversal of 31120023132030 is 3023132002113.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31120023131988 and 31120023132006.

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, 33457696 + ... + 34375244.

It is an arithmetic number, because the mean of its divisors is an integer number (1333724988600).

Almost surely, 231120023132030 is an apocalyptic number.

31120023132030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31120023132030 is an abundant number, since it is smaller than the sum of its proper divisors (54238376138370).

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

31120023132030 is a wasteful number, since it uses less digits than its factorization.

31120023132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079073.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31120023132030 its reverse (3023132002113), we get a palindrome (34143155134143).

The spelling of 31120023132030 in words is "thirty-one trillion, one hundred twenty billion, twenty-three million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 161507 323014 484521 807535 917549 969042 1130549 1615070 1835098 2261098 2422605 2752647 3391647 4587745 4845210 5505294 5652745 6422843 6783294 9175490 11305490 12845686 13763235 16958235 19268529 27526470 32114215 33916470 38537058 64228430 96342645 192685290 148190586343 296381172686 444571759029 740952931715 889143518058 1037334104401 1481905863430 2074668208802 2222858795145 3112002313203 4445717590290 5186670522005 6224004626406 10373341044010 15560011566015 31120023132030