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331131030102 = 23347270748197
BaseRepresentation
bin1001101000110001111…
…00101000101001010110
31011122201002110012202000
410310120330220221112
520411124020430402
6412041451100130
732631510213135
oct4643074505126
91148632405660
10331131030102
11118482919a54
1254213141646
13252c161a492
141205388591c
15893074cc1c
hex4d18f28a56

331131030102 has 64 divisors (see below), whose sum is σ = 751796259840. Its totient is φ = 107986415328.

The previous prime is 331131030091. The next prime is 331131030103. The reversal of 331131030102 is 201030131133.

It is a happy number.

331131030102 is a `hidden beast` number, since 3 + 311 + 310 + 30 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331131030103) 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, 6846268 + ... + 6894464.

It is an arithmetic number, because the mean of its divisors is an integer number (11746816560).

Almost surely, 2331131030102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331131030102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375898129920).

331131030102 is an abundant number, since it is smaller than the sum of its proper divisors (420665229738).

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

331131030102 is a wasteful number, since it uses less digits than its factorization.

331131030102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50962 (or 50956 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331131030102 its reverse (201030131133), we get a palindrome (532161161235).

The spelling of 331131030102 in words is "three hundred thirty-one billion, one hundred thirty-one million, thirty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 2707 5414 8121 16242 24363 48197 48726 73089 96394 127229 144591 146178 254458 289182 381687 433773 763374 867546 1145061 1301319 2265259 2290122 2602638 3435183 4530518 6795777 6870366 13591554 20387331 40774662 61161993 122323986 130469279 260938558 391407837 782815674 1174223511 2348447022 3522670533 6132056113 7045341066 12264112226 18396168339 36792336678 55188505017 110377010034 165565515051 331131030102