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32111132112020 = 22513376075499103
BaseRepresentation
bin1110100110100011101001…
…00111110111010010010100
311012200210110000012211120002
413103101310213313102110
513202102044310041040
6152143352255030432
76522644534303663
oct723216447672224
9135623400184502
1032111132112020
11a260288a3a515
12372742920b418
1314bc0b38b5590
147d028951adda
153aa43e479a15
hex1d34749f7494

32111132112020 has 96 divisors (see below), whose sum is σ = 74706163703808. Its totient is φ = 11516967286272.

The previous prime is 32111132112001. The next prime is 32111132112023. The reversal of 32111132112020 is 2021123111123.

It is a super-2 number, since 2×321111321120202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32111132111983 and 32111132112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32111132112023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3089789 + ... + 8588891.

It is an arithmetic number, because the mean of its divisors is an integer number (778189205248).

Almost surely, 232111132112020 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 32111132112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37353081851904).

32111132112020 is an abundant number, since it is smaller than the sum of its proper divisors (42595031591788).

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

32111132112020 is a wasteful number, since it uses less digits than its factorization.

32111132112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499769 (or 5499767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 32111132112020 its reverse (2021123111123), we get a palindrome (34132255223143).

The spelling of 32111132112020 in words is "thirty-two trillion, one hundred eleven billion, one hundred thirty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 607 740 962 1214 1924 2405 2428 3035 4810 6070 7891 9620 12140 15782 22459 31564 39455 44918 78910 89836 112295 157820 224590 291967 449180 583934 1167868 1459835 2919670 5499103 5839340 10998206 21996412 27495515 54991030 71488339 109982060 142976678 203466811 285953356 357441695 406933622 714883390 813867244 1017334055 1429766780 2034668110 2645068543 3337955521 4069336220 5290137086 6675911042 10580274172 13225342715 13351822084 16689777605 26450685430 33379555210 43393421773 52901370860 66759110420 86786843546 123504354277 173573687092 216967108865 247008708554 433934217730 494017417108 617521771385 867868435460 1235043542770 1605556605601 2470087085540 3211113211202 6422226422404 8027783028005 16055566056010 32111132112020