Search a number
-
+
4931358102 = 2321123489
BaseRepresentation
bin1001001011110111…
…01000110110010110
3110201200012221120200
410211323220312112
540044411424402
62133200041330
7233126565216
oct44573506626
913650187520
104931358102
112100694370
12b57603246
13607877298
1434ad14246
151dcde821c
hex125ee8d96

4931358102 has 120 divisors (see below), whose sum is σ = 12322669320. Its totient is φ = 1413318720.

The previous prime is 4931358101. The next prime is 4931358137. The reversal of 4931358102 is 2018531394.

4931358102 is a `hidden beast` number, since 49 + 31 + 3 + 581 + 0 + 2 = 666.

It is a super-2 number, since 2×49313581022 = 48636585460322084808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4931358101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55408474 + ... + 55408562.

It is an arithmetic number, because the mean of its divisors is an integer number (102688911).

Almost surely, 24931358102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4931358102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161334660).

4931358102 is an abundant number, since it is smaller than the sum of its proper divisors (7391311218).

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

4931358102 is an equidigital number, since it uses as much as digits as its factorization.

4931358102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4931358102 is about 70223.6292283445. The cubic root of 4931358102 is about 1702.1147962502.

Adding to 4931358102 its reverse (2018531394), we get a palindrome (6949889496).

The spelling of 4931358102 in words is "four billion, nine hundred thirty-one million, three hundred fifty-eight thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 89 99 138 178 198 207 253 267 414 506 529 534 759 801 979 1058 1518 1587 1602 1958 2047 2277 2937 3174 4094 4554 4761 5819 5874 6141 8811 9522 11638 12167 12282 17457 17622 18423 22517 24334 34914 36501 36846 45034 47081 52371 67551 73002 94162 104742 109503 133837 135102 141243 202653 219006 267674 279841 282486 401511 405306 423729 517891 559682 803022 839523 847458 1035782 1082863 1204533 1553673 1679046 2165726 2409066 2518569 3078251 3107346 3248589 4661019 5037138 6156502 6497178 9234753 9322038 9745767 11911493 18469506 19491534 23822986 24905849 27704259 35734479 49811698 55408518 71468958 74717547 107203437 149435094 214406874 224152641 273964339 448305282 547928678 821893017 1643786034 2465679051 4931358102