Search a number
-
+
331000010022 = 2311101346114347
BaseRepresentation
bin1001101000100010010…
…00110101010100100110
31011122100221220200222110
410310101020311110212
520410342000310042
6412020450541450
732625326443323
oct4642110652446
91148327820873
10331000010022
111184159706a0
1254197297886
13252a04355c6
14120402dbb4a
158923ebc09c
hex4d11235526

331000010022 has 64 divisors (see below), whose sum is σ = 729593733888. Its totient is φ = 99274320000.

The previous prime is 331000009961. The next prime is 331000010023. The reversal of 331000010022 is 220010000133.

It is a happy number.

It is a super-2 number, since 2×3310000100222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331000010023) 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, 23063853 + ... + 23078199.

It is an arithmetic number, because the mean of its divisors is an integer number (11399902092).

Almost surely, 2331000010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331000010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364796866944).

331000010022 is an abundant number, since it is smaller than the sum of its proper divisors (398593723866).

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

331000010022 is a wasteful number, since it uses less digits than its factorization.

331000010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17925.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 331000010022 its reverse (220010000133), we get a palindrome (551010010155).

The spelling of 331000010022 in words is "three hundred thirty-one billion, ten thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 3461 6666 6922 10383 14347 20766 28694 38071 43041 76142 86082 114213 157817 228426 315634 349561 473451 699122 946902 1048683 1449047 2097366 2898094 3845171 4347141 7690342 8694282 11535513 15939517 23071026 31879034 47818551 49654967 95637102 99309934 148964901 297929802 546204637 1092409274 1638613911 3277227822 5015151667 10030303334 15045455001 30090910002 55166668337 110333336674 165500005011 331000010022