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13122113221032 = 2332331766836911
BaseRepresentation
bin1011111011110011101011…
…1001011011000110101000
31201110110110122001220001120
42332330322321123012220
53204443041441033112
643524114322415240
72523020125014144
oct276747271330650
951413418056046
1013122113221032
1141aa069903082
12157b1a1201520
1374254390c31a
14335183c9a224
1517b509e16e8c
hexbef3ae5b1a8

13122113221032 has 64 divisors (see below), whose sum is σ = 35335844904960. Its totient is φ = 4048898884800.

The previous prime is 13122113221003. The next prime is 13122113221037. The reversal of 13122113221032 is 23012231122131.

It is a super-3 number, since 3×131221132210323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13122113220993 and 13122113221011.

It is not an unprimeable number, because it can be changed into a prime (13122113221037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383401344 + ... + 383435567.

It is an arithmetic number, because the mean of its divisors is an integer number (552122576640).

Almost surely, 213122113221032 is an apocalyptic number.

13122113221032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122113221032 is an abundant number, since it is smaller than the sum of its proper divisors (22213731683928).

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

13122113221032 is a wasteful number, since it uses less digits than its factorization.

13122113221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766836974 (or 766836970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13122113221032 its reverse (23012231122131), we get a palindrome (36134344343163).

The spelling of 13122113221032 in words is "thirteen trillion, one hundred twenty-two billion, one hundred thirteen million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 8556 17112 766836911 1533673822 2300510733 3067347644 4601021466 6134695288 9202042932 17637248953 18404085864 23771944241 35274497906 47543888482 52911746859 70548995812 71315832723 95087776964 105823493718 141097991624 142631665446 190175553928 211646987436 285263330892 423293974872 546754717543 570526661784 1093509435086 1640264152629 2187018870172 3280528305258 4374037740344 6561056610516 13122113221032