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20122112032 = 25111910129789
BaseRepresentation
bin10010101111010111…
…110001000000100000
31220221100022012110121
4102233113301000200
5312202230041112
613124410410024
71311434062441
oct225727610040
956840265417
1020122112032
118596453660
123a96a30914
131b88a90c89
14d8c5d12c8
157cb83c407
hex4af5f1020

20122112032 has 96 divisors (see below), whose sum is σ = 45943329600. Its totient is φ = 8578944000.

The previous prime is 20122112009. The next prime is 20122112053. The reversal of 20122112032 is 23021122102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20122111997 and 20122112015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 660594 + ... + 690382.

It is an arithmetic number, because the mean of its divisors is an integer number (478576350).

Almost surely, 220122112032 is an apocalyptic number.

20122112032 is a gapful number since it is divisible by the number (22) 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 20122112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22971664800).

20122112032 is an abundant number, since it is smaller than the sum of its proper divisors (25821217568).

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

20122112032 is a wasteful number, since it uses less digits than its factorization.

20122112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29930 (or 29922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20122112032 its reverse (23021122102), we get a palindrome (43143234134).

The spelling of 20122112032 in words is "twenty billion, one hundred twenty-two million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 101 152 176 202 209 304 352 404 418 608 808 836 1111 1616 1672 1919 2222 3232 3344 3838 4444 6688 7676 8888 15352 17776 21109 29789 30704 35552 42218 59578 61408 84436 119156 168872 238312 327679 337744 476624 565991 655358 675488 953248 1131982 1310716 2263964 2621432 3008689 4527928 5242864 6017378 6225901 9055856 10485728 12034756 12451802 18111712 24069512 24903604 33095579 48139024 49807208 57165091 66191158 96278048 99614416 114330182 132382316 199228832 228660364 264764632 457320728 529529264 628816001 914641456 1059058528 1257632002 1829282912 2515264004 5030528008 10061056016 20122112032