Search a number
-
+
10223103320031 = 3729134211250779
BaseRepresentation
bin1001010011000100000001…
…1100010001111111011111
31100012022121122111012100110
42110301000130101333133
52314443403422220111
633424232343301103
72103411013311420
oct224610034217737
940168548435313
1010223103320031
113291659343538
12119138074a793
1359205aa70564
14274b2d715647
1512add67d55a6
hex94c40711fdf

10223103320031 has 32 divisors (see below), whose sum is σ = 16116450393600. Its totient is φ = 5639908095360.

The previous prime is 10223103319951. The next prime is 10223103320033. The reversal of 10223103320031 is 13002330132201.

10223103320031 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 10223103320031 - 27 = 10223103319903 is a prime.

It is a super-2 number, since 2×102231033200312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223103320033) 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, 7548000 + ... + 8798778.

It is an arithmetic number, because the mean of its divisors is an integer number (503639074800).

Almost surely, 210223103320031 is an apocalyptic number.

10223103320031 is a deficient number, since it is larger than the sum of its proper divisors (5893347073569).

10223103320031 is a wasteful number, since it uses less digits than its factorization.

10223103320031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264239.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10223103320031 its reverse (13002330132201), we get a palindrome (23225433452232).

The spelling of 10223103320031 in words is "ten trillion, two hundred twenty-three billion, one hundred three million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 7 21 29 87 203 609 13421 40263 93947 281841 389209 1167627 1250779 2724463 3752337 8173389 8755453 26266359 36272591 108817773 253908137 761724411 16786704959 50360114877 117506934713 352520804139 486814443811 1460443331433 3407701106677 10223103320031