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21102032112 = 2437443141769
BaseRepresentation
bin10011101001110001…
…110111010011110000
32000110122012022002220
4103221301313103300
5321204110011422
613405533441040
71344633212340
oct235161672360
960418168086
1021102032112
118a49602067
12410b040180
131cb3aba545
1410427d2d20
158378a3e5c
hex4e9c774f0

21102032112 has 80 divisors (see below), whose sum is σ = 62442312960. Its totient is φ = 6015499776.

The previous prime is 21102032093. The next prime is 21102032113. The reversal of 21102032112 is 21123020112.

It is a junction number, because it is equal to n+sod(n) for n = 21102032091 and 21102032100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102032113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77964 + ... + 219732.

It is an arithmetic number, because the mean of its divisors is an integer number (780528912).

Almost surely, 221102032112 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 21102032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31221156480).

21102032112 is an abundant number, since it is smaller than the sum of its proper divisors (41340280848).

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

21102032112 is a wasteful number, since it uses less digits than its factorization.

21102032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142230 (or 142224 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21102032112 its reverse (21123020112), we get a palindrome (42225052224).

The spelling of 21102032112 in words is "twenty-one billion, one hundred two million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 443 886 1329 1772 2658 3101 3544 5316 6202 7088 9303 10632 12404 18606 21264 24808 37212 49616 74424 141769 148848 283538 425307 567076 850614 992383 1134152 1701228 1984766 2268304 2977149 3402456 3969532 5954298 6804912 7939064 11908596 15878128 23817192 47634384 62803667 125607334 188411001 251214668 376822002 439625669 502429336 753644004 879251338 1004858672 1318877007 1507288008 1758502676 2637754014 3014576016 3517005352 5275508028 7034010704 10551016056 21102032112