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10211232322031 = 1323243266312967
BaseRepresentation
bin1001010010010111110011…
…1000000001000111101111
31100011011222100010000110212
42110211330320001013233
52314300100433301111
633414550402453035
72102510566430666
oct224457470010757
940134870100425
1010211232322031
113287617491a94
12118b00906417b
13590bb85651a0
14274324cb7ddd
1512a93e54798b
hex9497ce011ef

10211232322031 has 48 divisors (see below), whose sum is σ = 11768281975296. Its totient is φ = 8802278831808.

The previous prime is 10211232322013. The next prime is 10211232322043. The reversal of 10211232322031 is 13022323211201.

10211232322031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211232322031 - 214 = 10211232305647 is a prime.

It is a super-2 number, since 2×102112323220312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211232321988 and 10211232322006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211232322091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787471910 + ... + 787484876.

It is an arithmetic number, because the mean of its divisors is an integer number (245172541152).

Almost surely, 210211232322031 is an apocalyptic number.

10211232322031 is a deficient number, since it is larger than the sum of its proper divisors (1557049653265).

10211232322031 is a wasteful number, since it uses less digits than its factorization.

10211232322031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15732 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10211232322031 its reverse (13022323211201), we get a palindrome (23233555533232).

The spelling of 10211232322031 in words is "ten trillion, two hundred eleven billion, two hundred thirty-two million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 13 23 43 299 529 559 989 2663 6877 12857 12967 22747 34619 61249 114509 168571 295711 298241 557581 796237 1408727 1488617 2633707 3877133 6859543 7248553 12824363 18313451 34238191 34531121 60575261 89174059 166716719 294960349 448904573 787478393 794215783 1484838203 3834484537 10324805179 18266963009 19302896639 34151278669 237470519117 443966622697 785479409387 10211232322031