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21023133032 = 2311792101379
BaseRepresentation
bin10011100101000100…
…111000110101101000
32000021010201210220202
4103211010320311220
5321023410224112
613354034411332
71342654453016
oct234504706550
960233653822
1021023133032
118a09013010
1240a8730b48
131ca06542b5
1410361358b6
158309bb6c2
hex4e5138d68

21023133032 has 96 divisors (see below), whose sum is σ = 44100352800. Its totient is φ = 9316944000.

The previous prime is 21023133029. The next prime is 21023133083. The reversal of 21023133032 is 23033132012.

It is a junction number, because it is equal to n+sod(n) for n = 21023132995 and 21023133013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55469819 + ... + 55470197.

It is an arithmetic number, because the mean of its divisors is an integer number (459378675).

Almost surely, 221023133032 is an apocalyptic number.

21023133032 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 21023133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050176400).

21023133032 is an abundant number, since it is smaller than the sum of its proper divisors (23077219768).

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

21023133032 is a wasteful number, since it uses less digits than its factorization.

21023133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 572 counting only the distinct ones).

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

Adding to 21023133032 its reverse (23033132012), we get a palindrome (44056265044).

The spelling of 21023133032 in words is "twenty-one billion, twenty-three million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 79 88 101 158 202 316 379 404 632 758 808 869 1111 1516 1738 2222 3032 3476 4169 4444 6241 6952 7979 8338 8888 12482 15958 16676 24964 29941 31916 33352 38279 49928 59882 63832 68651 76558 87769 119764 137302 153116 175538 239528 274604 306232 329351 351076 421069 549208 630341 658702 702152 842138 1260682 1317404 1684276 2365339 2521364 2634808 3024041 3368552 4730678 5042728 6048082 6933751 9461356 12096164 13867502 18922712 24192328 26018729 27735004 33264451 52037458 55470008 66528902 104074916 133057804 208149832 238899239 266115608 477798478 955596956 1911193912 2627891629 5255783258 10511566516 21023133032