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10021011234 = 23131391934789
BaseRepresentation
bin10010101010100110…
…00111111100100010
3221212101022010010020
421111103013330202
5131010334324414
64334213014310
7503221122123
oct112523077442
927771263106
1010021011234
114282666073
121b38024396
13c39165c60
146b0c7204a
153d9b5d7a9
hex2554c7f22

10021011234 has 64 divisors (see below), whose sum is σ = 21856195200. Its totient is φ = 3044708352.

The previous prime is 10021011227. The next prime is 10021011281. The reversal of 10021011234 is 43211012001.

10021011234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2090112 + ... + 2094900.

It is an arithmetic number, because the mean of its divisors is an integer number (341503050).

Almost surely, 210021011234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021011234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928097600).

10021011234 is an abundant number, since it is smaller than the sum of its proper divisors (11835183966).

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

10021011234 is a wasteful number, since it uses less digits than its factorization.

10021011234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139.

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

Adding to 10021011234 its reverse (43211012001), we get a palindrome (53232023235).

The spelling of 10021011234 in words is "ten billion, twenty-one million, eleven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 139 193 278 386 417 579 834 1158 1807 2509 3614 4789 5018 5421 7527 9578 10842 14367 15054 26827 28734 53654 62257 80481 124514 160962 186771 348751 373542 665671 697502 924277 1046253 1331342 1848554 1997013 2092506 2772831 3994026 5545662 8653723 12015601 17307446 24031202 25961169 36046803 51922338 72093606 128474503 256949006 385423509 770847018 1670168539 3340337078 5010505617 10021011234