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101200013322231 = 35316335271107109
BaseRepresentation
bin10111000000101001110110…
…110110000110011111110111
3111021022121220221002110221010
4113000221312312012133313
5101231030111402302411
6555122351100523303
730213313446112515
oct2700516666063767
9437277827073833
10101200013322231
112a27775927247a
12b4252a7850533
134461174416715
141adc16d0074b5
15ba76a073c7a6
hex5c0a76d867f7

101200013322231 has 32 divisors (see below), whose sum is σ = 138362037649920. Its totient is φ = 65768910989184.

The previous prime is 101200013322157. The next prime is 101200013322257. The reversal of 101200013322231 is 132223310002101.

It is not a de Polignac number, because 101200013322231 - 211 = 101200013320183 is a prime.

It is a super-2 number, since 2×1012000133222312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101200013322198 and 101200013322207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200013422231) 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, 90855705 + ... + 91962813.

It is an arithmetic number, because the mean of its divisors is an integer number (4323813676560).

Almost surely, 2101200013322231 is an apocalyptic number.

101200013322231 is a deficient number, since it is larger than the sum of its proper divisors (37162024327689).

101200013322231 is a wasteful number, since it uses less digits than its factorization.

101200013322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110855.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101200013322231 its reverse (132223310002101), we get a palindrome (233423323324332).

The spelling of 101200013322231 in words is "one hundred one trillion, two hundred billion, thirteen million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 53 159 163 489 3527 8639 10581 25917 186931 560793 574901 1107109 1724703 3321327 30469753 58676777 91409259 176030331 180458767 541376301 3904773443 9564314651 11714320329 28692943953 206952992479 620858977437 636478071209 1909434213627 33733337774077 101200013322231