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101433332 = 22731121347
BaseRepresentation
bin1100000101110…
…11111111110100
321001212100101002
412002323333310
5201431331312
614022022432
72341112000
oct602737764
9231770332
10101433332
1152290400
1229b77a18
1318026030
14d685700
158d894c2
hex60bbff4

101433332 has 144 divisors (see below), whose sum is σ = 250252800. Its totient is φ = 35703360.

The previous prime is 101433263. The next prime is 101433341. The reversal of 101433332 is 233334101.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2158133 + ... + 2158179.

Almost surely, 2101433332 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 101433332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125126400).

101433332 is an abundant number, since it is smaller than the sum of its proper divisors (148819468).

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

101433332 is a wasteful number, since it uses less digits than its factorization.

101433332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 101433332 is about 10071.4116190334. The cubic root of 101433332 is about 466.3660174600.

Adding to 101433332 its reverse (233334101), we get a palindrome (334767433).

The spelling of 101433332 in words is "one hundred one million, four hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 47 49 52 77 91 94 98 121 143 154 182 188 196 242 286 308 329 343 364 484 517 539 572 611 637 658 686 847 1001 1034 1078 1222 1274 1316 1372 1573 1694 2002 2068 2156 2303 2444 2548 3146 3388 3619 3773 4004 4277 4459 4606 5687 5929 6292 6721 7007 7238 7546 8554 8918 9212 11011 11374 11858 13442 14014 14476 15092 16121 17108 17836 22022 22748 23716 25333 26884 28028 29939 32242 39809 41503 44044 47047 49049 50666 59878 64484 73931 77077 79618 83006 94094 98098 101332 119756 147862 154154 159236 166012 177331 188188 196196 209573 278663 295724 308308 329329 354662 419146 517517 539539 557326 658658 709324 838292 1035034 1079078 1114652 1317316 1950641 2070068 2158156 2305303 3622619 3901282 4610606 7245238 7802564 9221212 14490476 25358333 50716666 101433332