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13022032022928 = 2432101895354237
BaseRepresentation
bin1011110101111110110110…
…0101111100110110010000
31201002220010210122020221200
42331133231211330312100
53201323110144213203
643410123335151200
72512545043612365
oct275375545746620
951086123566850
1013022032022928
114170681658705
121563910215500
13735c84340086
143303ac14046c
15178aed9dd9a3
hexbd7ed97cd90

13022032022928 has 60 divisors (see below), whose sum is σ = 36804431307228. Its totient is φ = 4297700332800.

The previous prime is 13022032022927. The next prime is 13022032023001. The reversal of 13022032022928 is 82922023022031.

It is a happy number.

13022032022928 is a `hidden beast` number, since 1 + 3 + 0 + 220 + 320 + 22 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5633464274064 + 7388567748864 = 2373492^2 + 2718192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13022032022892 and 13022032022901.

It is not an unprimeable number, because it can be changed into a prime (13022032022921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447662575 + ... + 447691662.

Almost surely, 213022032022928 is an apocalyptic number.

13022032022928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13022032022928 is an abundant number, since it is smaller than the sum of its proper divisors (23782399284300).

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

13022032022928 is a wasteful number, since it uses less digits than its factorization.

13022032022928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895354352 (or 895354343 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13022032022928 its reverse (82922023022031), we get a palindrome (95944055044959).

The spelling of 13022032022928 in words is "thirteen trillion, twenty-two billion, thirty-two million, twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 895354237 1790708474 2686062711 3581416948 5372125422 7162833896 8058188133 10744250844 14325667792 16116376266 21488501688 32232752532 42977003376 64465505064 90430777937 128931010128 180861555874 271292333811 361723111748 542584667622 723446223496 813877001433 1085169335244 1446892446992 1627754002866 2170338670488 3255508005732 4340677340976 6511016011464 13022032022928