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331113552 = 243711101887
BaseRepresentation
bin10011101111000…
…110010001010000
3212002001022101220
4103233012101100
51134231113202
652504525040
711130263430
oct2357062120
9762038356
10331113552
1115a9a5570
1292a80780
13537a28a3
1431d922c0
151e107abc
hex13bc6450

331113552 has 160 divisors (see below), whose sum is σ = 1078216704. Its totient is φ = 85056000.

The previous prime is 331113509. The next prime is 331113583. The reversal of 331113552 is 255311133.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372853 + ... + 373739.

Almost surely, 2331113552 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 331113552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539108352).

331113552 is an abundant number, since it is smaller than the sum of its proper divisors (747103152).

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

331113552 is a wasteful number, since it uses less digits than its factorization.

331113552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1011 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 331113552 is about 18196.5258222552. The cubic root of 331113552 is about 691.8187347519.

Adding to 331113552 its reverse (255311133), we get a palindrome (586424685).

It can be divided in two parts, 33111 and 3552, that added together give a palindrome (36663).

The spelling of 331113552 in words is "three hundred thirty-one million, one hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 101 112 132 154 168 176 202 231 264 303 308 336 404 462 528 606 616 707 808 887 924 1111 1212 1232 1414 1616 1774 1848 2121 2222 2424 2661 2828 3333 3548 3696 4242 4444 4848 5322 5656 6209 6666 7096 7777 8484 8888 9757 10644 11312 12418 13332 14192 15554 16968 17776 18627 19514 21288 23331 24836 26664 29271 31108 33936 37254 39028 42576 46662 49672 53328 58542 62216 68299 74508 78056 89587 93324 99344 117084 124432 136598 149016 156112 179174 186648 204897 234168 268761 273196 298032 358348 373296 409794 468336 537522 546392 627109 716696 819588 985457 1075044 1092784 1254218 1433392 1639176 1881327 1970914 2150088 2508436 2956371 3278352 3762654 3941828 4300176 5016872 5912742 6898199 7525308 7883656 10033744 11825484 13796398 15050616 15767312 20694597 23650968 27592796 30101232 41389194 47301936 55185592 82778388 110371184 165556776 331113552