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10131333212 = 22711132838941
BaseRepresentation
bin10010110111101111…
…11110000001011100
3222011001220001102102
421123313332001130
5131222110130322
64353153344232
7506030624420
oct113367760134
928131801372
1010131333212
114329967660
121b68b68078
13c55c81a30
146c178cb80
153e46a1792
hex25bdfe05c

10131333212 has 96 divisors (see below), whose sum is σ = 23891879424. Its totient is φ = 3630355200.

The previous prime is 10131333211. The next prime is 10131333239. The reversal of 10131333212 is 21233313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131333211) 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, 1128662 + ... + 1137602.

It is an arithmetic number, because the mean of its divisors is an integer number (248873744).

Almost surely, 210131333212 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 10131333212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945939712).

10131333212 is an abundant number, since it is smaller than the sum of its proper divisors (13760546212).

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

10131333212 is a wasteful number, since it uses less digits than its factorization.

10131333212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9259 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10131333212 its reverse (21233313101), we get a palindrome (31364646313).

It can be divided in two parts, 10131 and 333212, that added together give a palindrome (343343).

The spelling of 10131333212 in words is "ten billion, one hundred thirty-one million, three hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 283 286 308 364 566 572 1001 1132 1981 2002 3113 3679 3962 4004 6226 7358 7924 8941 12452 14716 17882 21791 25753 35764 40469 43582 51506 62587 80938 87164 98351 103012 116233 125174 161876 196702 232466 250348 283283 393404 464932 566566 688457 813631 1133132 1278563 1376914 1627262 2530303 2557126 2753828 3254524 5060606 5114252 8949941 10121212 17712121 17899882 27833333 32893939 35424242 35799764 55666666 65787878 70848484 111333332 131575756 194833331 230257573 361833329 389666662 460515146 723666658 779333324 921030292 1447333316 2532833303 5065666606 10131333212