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33122113232 = 24132774671231
BaseRepresentation
bin11110110110001110…
…110101011011010000
310011111100002200120112
4132312032311123100
51020313230110412
623114401500452
72251540213535
oct366616653320
9104440080515
1033122113232
11130576299aa
126504641728
13317b163390
141862d5ad8c
15cdcc8e722
hex7b63b56d0

33122113232 has 80 divisors (see below), whose sum is σ = 69565047552. Its totient is φ = 15186977280.

The previous prime is 33122113201. The next prime is 33122113289. The reversal of 33122113232 is 23231122133.

It is a junction number, because it is equal to n+sod(n) for n = 33122113198 and 33122113207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26906057 + ... + 26907287.

Almost surely, 233122113232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33122113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34782523776).

33122113232 is an abundant number, since it is smaller than the sum of its proper divisors (36442934320).

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

33122113232 is a wasteful number, since it uses less digits than its factorization.

33122113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1990 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

Adding to 33122113232 its reverse (23231122133), we get a palindrome (56353235365).

The spelling of 33122113232 in words is "thirty-three billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 277 467 554 934 1108 1231 1868 2216 2462 3601 3736 4432 4924 6071 7202 7472 9848 12142 14404 16003 19696 24284 28808 32006 48568 57616 64012 97136 128024 129359 256048 258718 340987 517436 574877 681974 1034872 1149754 1363948 1681667 2069744 2299508 2727896 3363334 4432831 4599016 5455792 6726668 7473401 8865662 9198032 13453336 14946802 17731324 26906672 29893604 35462648 59787208 70925296 119574416 159240929 318481858 636963716 1273927432 2070132077 2547854864 4140264154 8280528308 16561056616 33122113232