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11000202132031 = 719473803462727
BaseRepresentation
bin1010000000010010111100…
…1000111111101000111111
31102221121110000000001022221
42200010233020333220333
52420211403221211111
635221231215550211
72213511156240460
oct240045710775077
942847400001287
1011000202132031
113561183368782
121297ab552b367
1361a4122768c8
142a05ac350d67
151412192d5371
hexa012f23fa3f

11000202132031 has 32 divisors (see below), whose sum is σ = 13518468956160. Its totient is φ = 8740124163936.

The previous prime is 11000202132011. The next prime is 11000202132041. The reversal of 11000202132031 is 13023120200011.

It is not a de Polignac number, because 11000202132031 - 243 = 2204109109823 is a prime.

It is a super-2 number, since 2×110002021320312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000202131996 and 11000202132014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000202132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23541190 + ... + 24003916.

It is an arithmetic number, because the mean of its divisors is an integer number (422452154880).

Almost surely, 211000202132031 is an apocalyptic number.

11000202132031 is a deficient number, since it is larger than the sum of its proper divisors (2518266824129).

11000202132031 is a wasteful number, since it uses less digits than its factorization.

11000202132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466603.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11000202132031 its reverse (13023120200011), we get a palindrome (24023322332042).

The spelling of 11000202132031 in words is "eleven trillion, two hundred two million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 7 19 47 133 329 893 3803 6251 26621 72257 178741 462727 505799 1251187 3239089 3396079 8791813 21748169 23772553 61542691 152237183 413215211 1759750781 2892506477 12318255467 33435264839 82708286707 234046853873 578958006949 1571457447433 11000202132031