Search a number
-
+
101204332012311 = 311223126531086893
BaseRepresentation
bin10111000000101101111000…
…010000100110001100010111
3111021100001001220110122222120
4113000231320100212030113
5101231112432443343221
6555124343413231023
730213525456300633
oct2700557020461427
9437301056418876
10101204332012311
112a279575036230
12b4260b2032473
1344616b207b038
141adc45c7d7dc3
15ba78549645c6
hex5c0b78426317

101204332012311 has 32 divisors (see below), whose sum is σ = 147878241380352. Its totient is φ = 61056027672960.

The previous prime is 101204332012237. The next prime is 101204332012363. The reversal of 101204332012311 is 113210233402101.

It is not a de Polignac number, because 101204332012311 - 210 = 101204332011287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101204332012111) 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, 92569981 + ... + 93656873.

It is an arithmetic number, because the mean of its divisors is an integer number (4621195043136).

Almost surely, 2101204332012311 is an apocalyptic number.

101204332012311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101204332012311 is a deficient number, since it is larger than the sum of its proper divisors (46673909368041).

101204332012311 is a wasteful number, since it uses less digits than its factorization.

101204332012311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099783.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101204332012311 its reverse (113210233402101), we get a palindrome (214414565414412).

The spelling of 101204332012311 in words is "one hundred one trillion, two hundred four billion, three hundred thirty-two million, twelve thousand, three hundred eleven".

Divisors: 1 3 11 33 223 669 2453 7359 12653 37959 139183 417549 1086893 2821619 3260679 8464857 11955823 31037809 35867469 93113427 242377139 727131417 2666148529 7998445587 13752457129 41257371387 151277028419 453831085257 3066797939767 9200393819301 33734777337437 101204332012311