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2232202120031 = 133124763223679
BaseRepresentation
bin100000011110111001100…
…111010100101101011111
321220101201000002201121202
4200132321213110231133
5243033022220320111
64425243130150115
7320162022646652
oct40367147245537
97811630081552
102232202120031
117907429a3424
12300747b8233b
1313265a23cc30
147a079649899
153d0e8565b3b
hex207b99d4b5f

2232202120031 has 16 divisors (see below), whose sum is σ = 2481566760960. Its totient is φ = 1993937268960.

The previous prime is 2232202119977. The next prime is 2232202120069. The reversal of 2232202120031 is 1300212022322.

It is a happy number.

It is not a de Polignac number, because 2232202120031 - 218 = 2232201857887 is a prime.

It is a super-3 number, since 3×22322021200313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2232202119985 and 2232202120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232202123031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9867650 + ... + 10091328.

It is an arithmetic number, because the mean of its divisors is an integer number (155097922560).

Almost surely, 22232202120031 is an apocalyptic number.

2232202120031 is a deficient number, since it is larger than the sum of its proper divisors (249364640929).

2232202120031 is a wasteful number, since it uses less digits than its factorization.

2232202120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248486.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2232202120031 its reverse (1300212022322), we get a palindrome (3532414142353).

The spelling of 2232202120031 in words is "two trillion, two hundred thirty-two billion, two hundred two million, one hundred twenty thousand, thirty-one".

Divisors: 1 13 31 403 24763 223679 321919 767653 2907827 6934049 9979489 90142637 5538963077 72006520001 171707855387 2232202120031