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101221003332 = 223219383386381
BaseRepresentation
bin101111001000100111…
…1011111000001000100
3100200021021011201221100
41132101033133001010
53124300034101312
6114300021220100
710212231221661
oct1362117370104
9320237151840
10101221003332
1139a22687a69
121774a861630
139711778c17
144c8329aa68
1529765235dc
hex17913df044

101221003332 has 72 divisors (see below), whose sum is σ = 270034652160. Its totient is φ = 31880986560.

The previous prime is 101221003307. The next prime is 101221003337. The reversal of 101221003332 is 233300122101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101221003337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68782 + ... + 455162.

It is an arithmetic number, because the mean of its divisors is an integer number (3750481280).

Almost surely, 2101221003332 is an apocalyptic number.

101221003332 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 101221003332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135017326080).

101221003332 is an abundant number, since it is smaller than the sum of its proper divisors (168813648828).

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

101221003332 is a wasteful number, since it uses less digits than its factorization.

101221003332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386793 (or 386788 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101221003332 its reverse (233300122101), we get a palindrome (334521125433).

The spelling of 101221003332 in words is "one hundred one billion, two hundred twenty-one million, three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 383 684 766 1149 1532 2298 3447 4596 6894 7277 13788 14554 21831 29108 43662 65493 87324 130986 261972 386381 772762 1159143 1545524 2318286 3477429 4636572 6954858 7341239 13909716 14682478 22023717 29364956 44047434 66071151 88094868 132142302 147983923 264284604 295967846 443951769 591935692 887903538 1331855307 1775807076 2663710614 2811694537 5327421228 5623389074 8435083611 11246778148 16870167222 25305250833 33740334444 50610501666 101221003332