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10332313332 = 223111011077243
BaseRepresentation
bin10011001111101101…
…01001011011110100
3222200002001220022120
421213312221123310
5132130033011312
64425133155540
7514021133325
oct114766513364
928602056276
1010332313332
114422359a30
12200432bbb0
13c887c0193
1470034844c
1540715128c
hex267da96f4

10332313332 has 96 divisors (see below), whose sum is σ = 26812767744. Its totient is φ = 3070608000.

The previous prime is 10332313279. The next prime is 10332313337. The reversal of 10332313332 is 23331323301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332313337) 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, 1422903 + ... + 1430145.

It is an arithmetic number, because the mean of its divisors is an integer number (279299664).

Almost surely, 210332313332 is an apocalyptic number.

10332313332 is a gapful number since it is divisible by the number (12) 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 10332313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406383872).

10332313332 is an abundant number, since it is smaller than the sum of its proper divisors (16480454412).

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

10332313332 is a wasteful number, since it uses less digits than its factorization.

10332313332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7469 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 10332313332 its reverse (23331323301), we get a palindrome (33663636633).

The spelling of 10332313332 in words is "ten billion, three hundred thirty-two million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 107 132 202 214 303 321 404 428 606 642 1111 1177 1212 1284 2222 2354 3333 3531 4444 4708 6666 7062 7243 10807 13332 14124 14486 21614 21729 28972 32421 43228 43458 64842 79673 86916 118877 129684 159346 237754 239019 318692 356631 475508 478038 713262 731543 775001 956076 1426524 1463086 1550002 2194629 2325003 2926172 3100004 4389258 4650006 8046973 8525011 8778516 9300012 16093946 17050022 24140919 25575033 32187892 34100044 48281838 51150066 78275101 96563676 102300132 156550202 234825303 313100404 469650606 861026111 939301212 1722052222 2583078333 3444104444 5166156666 10332313332