Search a number
-
+
31221102300 = 22352412538301
BaseRepresentation
bin11101000100111011…
…000011011011011100
32222120212000022211020
4131010323003123130
51002420100233200
622202012324140
72153454663603
oct350473033334
988525008736
1031221102300
1112271553293
126073a73650
132c3736763b
1417226aca3a
15c2ae31ea0
hex744ec36dc

31221102300 has 72 divisors (see below), whose sum is σ = 92536337712. Its totient is φ = 8122560000.

The previous prime is 31221102287. The next prime is 31221102307. The reversal of 31221102300 is 320112213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31221102300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221102307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1256851 + ... + 1281450.

Almost surely, 231221102300 is an apocalyptic number.

31221102300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31221102300 is an abundant number, since it is smaller than the sum of its proper divisors (61315235412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31221102300 is a wasteful number, since it uses less digits than its factorization.

31221102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538359 (or 2538352 counting only the distinct ones).

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

Adding to 31221102300 its reverse (320112213), we get a palindrome (31541214513).

The spelling of 31221102300 in words is "thirty-one billion, two hundred twenty-one million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 2538301 5076602 7614903 10153204 12691505 15229806 25383010 30459612 38074515 50766020 63457525 76149030 104070341 126915050 152298060 190372575 208140682 253830100 312211023 380745150 416281364 520351705 624422046 761490300 1040703410 1248844092 1561055115 2081406820 2601758525 3122110230 5203517050 6244220460 7805275575 10407034100 15610551150 31221102300