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10021211032 = 2373147263467
BaseRepresentation
bin10010101010100111…
…11000101110011000
3221212101200021012011
421111103320232120
5131010412223112
64334221155304
7503222613460
oct112523705630
927771607164
1010021211032
114282792198
121b380bbb34
13c39205b91
146b0cc4ba0
153d9b9caa7
hex2554f8b98

10021211032 has 128 divisors (see below), whose sum is σ = 22773104640. Its totient is φ = 4043687040.

The previous prime is 10021211003. The next prime is 10021211069. The reversal of 10021211032 is 23011212001.

10021211032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 21458463 + ... + 21458929.

It is an arithmetic number, because the mean of its divisors is an integer number (177914880).

Almost surely, 210021211032 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 10021211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386552320).

10021211032 is an abundant number, since it is smaller than the sum of its proper divisors (12751893608).

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

10021211032 is a wasteful number, since it uses less digits than its factorization.

10021211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10021211032 its reverse (23011212001), we get a palindrome (33032423033).

The spelling of 10021211032 in words is "ten billion, twenty-one million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 31 47 56 62 94 124 188 217 248 263 329 376 434 467 526 658 868 934 1052 1316 1457 1736 1841 1868 2104 2632 2914 3269 3682 3736 5828 6538 7364 8153 10199 11656 12361 13076 14477 14728 16306 20398 21949 24722 26152 28954 32612 40796 43898 49444 57071 57908 65224 81592 86527 87796 98888 101339 114142 115816 122821 153643 173054 175592 202678 228284 245642 307286 346108 383191 405356 456568 491284 614572 680419 692216 766382 810712 859747 982568 1229144 1360838 1532764 1719494 2682337 2721676 3065528 3438988 3807451 4762933 5364674 5443352 5772587 6877976 7614902 9525866 10729348 11545174 15229804 19051732 21458696 23090348 26652157 30459608 38103464 40408109 46180696 53304314 80816218 106608628 161632436 178950197 213217256 323264872 357900394 715800788 1252651379 1431601576 2505302758 5010605516 10021211032