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13023012120030 = 23251167091960733
BaseRepresentation
bin1011110110000010100000…
…0000101110010111011110
31201002222200002212100102100
42331200220000232113132
53201332112100320110
643410404510105530
72512611244400343
oct275405000562736
951088602770370
1013023012120030
114171034918110
121563b444ab2a6
137360ac3cc0a3
1433046238a7ca
15178b59a8cbc0
hexbd82802e5de

13023012120030 has 96 divisors (see below), whose sum is σ = 36943522593120. Its totient is φ = 3156621661440.

The previous prime is 13023012120023. The next prime is 13023012120031. The reversal of 13023012120030 is 3002121032031.

13023012120030 is a `hidden beast` number, since 130 + 2 + 301 + 2 + 1 + 200 + 30 = 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 = 13023012119985 and 13023012120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023012120031) 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, 5661544 + ... + 7622276.

It is an arithmetic number, because the mean of its divisors is an integer number (384828360345).

Almost surely, 213023012120030 is an apocalyptic number.

13023012120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13023012120030 is an abundant number, since it is smaller than the sum of its proper divisors (23920510473090).

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

13023012120030 is a wasteful number, since it uses less digits than its factorization.

13023012120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967466 (or 1967463 counting only the distinct ones).

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

Adding to 13023012120030 its reverse (3002121032031), we get a palindrome (16025133152061).

The spelling of 13023012120030 in words is "thirteen trillion, twenty-three billion, twelve million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 6709 13418 20127 33545 40254 60381 67090 73799 100635 120762 147598 201270 221397 301905 368995 442794 603810 664191 737990 1106985 1328382 1960733 2213970 3320955 3921466 5882199 6641910 9803665 11764398 17646597 19607330 21568063 29410995 35293194 43136126 58821990 64704189 88232985 107840315 129408378 176465970 194112567 215680630 323520945 388225134 647041890 970562835 1941125670 13154557697 26309115394 39463673091 65772788485 78927346182 118391019273 131545576970 144700134667 197318365455 236782038546 289400269334 394636730910 434100404001 591955096365 723500673335 868200808002 1183910192730 1302301212003 1447001346670 2170502020005 2604602424006 4341004040010 6511506060015 13023012120030