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113221210032 = 24327241466069
BaseRepresentation
bin110100101110010000…
…0101000111110110000
3101211020120200101211100
41221130200220332300
53323334112210112
6124002455244400
711115504256230
oct1513440507660
9354216611740
10113221210032
114402046a967
1219b39679700
13a8a4983848
1456a0d2dcc0
152e29cd52dc
hex1a5c828fb0

113221210032 has 120 divisors (see below), whose sum is σ = 363631542560. Its totient is φ = 32214620160.

The previous prime is 113221210027. The next prime is 113221210051. The reversal of 113221210032 is 230012122311.

It is a super-2 number, since 2×1132212100322 (a number of 23 digits) contains 22 as substring.

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 = 113221209987 and 113221210014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9894 + ... + 475962.

Almost surely, 2113221210032 is an apocalyptic number.

113221210032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113221210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181815771280).

113221210032 is an abundant number, since it is smaller than the sum of its proper divisors (250410332528).

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

113221210032 is a wasteful number, since it uses less digits than its factorization.

113221210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466331 (or 466322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113221210032 its reverse (230012122311), we get a palindrome (343233332343).

The spelling of 113221210032 in words is "one hundred thirteen billion, two hundred twenty-one million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 241 252 336 482 504 723 964 1008 1446 1687 1928 2169 2892 3374 3856 4338 5061 5784 6748 8676 10122 11568 13496 15183 17352 20244 26992 30366 34704 40488 60732 80976 121464 242928 466069 932138 1398207 1864276 2796414 3262483 3728552 4194621 5592828 6524966 7457104 8389242 9787449 11185656 13049932 16778484 19574898 22371312 26099864 29362347 33556968 39149796 52199728 58724694 67113936 78299592 112322629 117449388 156599184 224645258 234898776 336967887 449290516 469797552 673935774 786258403 898581032 1010903661 1347871548 1572516806 1797162064 2021807322 2358775209 2695743096 3145033612 4043614644 4717550418 5391486192 6290067224 7076325627 8087229288 9435100836 12580134448 14152651254 16174458576 18870201672 28305302508 37740403344 56610605016 113221210032