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101222300031 = 317291035031321
BaseRepresentation
bin101111001000101010…
…0011011100101111111
3100200021100121121200020
41132101110123211333
53124300402100111
6114300105103223
710212245232306
oct1362124334577
9320240547606
10101222300031
1139a23393216
121774b187b13
139711b111b8
144c8351743d
1529766cc906
hex179151b97f

101222300031 has 64 divisors (see below), whose sum is σ = 149674936320. Its totient is φ = 60559994880.

The previous prime is 101222300017. The next prime is 101222300033. The reversal of 101222300031 is 130003222101.

It is not a de Polignac number, because 101222300031 - 221 = 101220202879 is a prime.

It is a super-2 number, since 2×1012223000312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222300033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76624851 + ... + 76626171.

It is an arithmetic number, because the mean of its divisors is an integer number (2338670880).

Almost surely, 2101222300031 is an apocalyptic number.

101222300031 is a deficient number, since it is larger than the sum of its proper divisors (48452636289).

101222300031 is a wasteful number, since it uses less digits than its factorization.

101222300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101222300031 its reverse (130003222101), we get a palindrome (231225522132).

The spelling of 101222300031 in words is "one hundred one billion, two hundred twenty-two million, three hundred thousand, thirty-one".

Divisors: 1 3 17 29 51 87 103 309 493 503 1321 1479 1509 1751 2987 3963 5253 8551 8961 14587 22457 25653 38309 43761 50779 51809 67371 114927 136063 152337 155427 247979 408189 651253 664463 743937 880753 1502461 1953759 1993389 2313071 2642259 3945827 4507383 6939213 11295871 11837481 19269427 25541837 33887613 57808281 67079059 68439689 76625511 201237177 205319067 327580259 982740777 1163474713 1984750981 3490424139 5954252943 33740766677 101222300031