Search a number
-
+
10033021101131 = 73725319753969
BaseRepresentation
bin1001000111111111111010…
…1010001010010001001011
31022112010222111020222211222
42101333332222022101023
52303340111400214011
633201034541512255
72053601421152210
oct221777652122113
938463874228758
1010033021101131
113218a86940046
12116057257268b
1357a1573b2512
1426985a8b3b07
15125eaddccddb
hex91ffea8a44b

10033021101131 has 24 divisors (see below), whose sum is σ = 12006937061280. Its totient is φ = 8209433037312.

The previous prime is 10033021101121. The next prime is 10033021101179. The reversal of 10033021101131 is 13110112033001.

It is not a de Polignac number, because 10033021101131 - 214 = 10033021084747 is a prime.

It is a super-2 number, since 2×100330211011312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10033021101121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9369086 + ... + 10384883.

It is an arithmetic number, because the mean of its divisors is an integer number (500289044220).

Almost surely, 210033021101131 is an apocalyptic number.

10033021101131 is a deficient number, since it is larger than the sum of its proper divisors (1973915960149).

10033021101131 is an equidigital number, since it uses as much as digits as its factorization.

10033021101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19754103 (or 19754066 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10033021101131 its reverse (13110112033001), we get a palindrome (23143133134132).

The spelling of 10033021101131 in words is "ten trillion, thirty-three billion, twenty-one million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 7 37 53 259 371 1369 1961 9583 13727 72557 507899 19753969 138277783 730896853 1046960357 5116277971 7328722499 27043183561 38737533209 189302284927 271162732463 1433288728733 10033021101131