Search a number
-
+
3213130010310 = 2325113787718537
BaseRepresentation
bin101110110000011101011…
…110010000111011000110
3102101011122112222121000200
4232300131132100323012
5410120442240312220
610500031435151330
7451066233311403
oct56603536207306
912334575877020
103213130010310
111029754140a70
1243a8868a5546
131a3cc614113c
14b1732b072aa
15588aa74b890
hex2ec1d790ec6

3213130010310 has 96 divisors (see below), whose sum is σ = 9359918878752. Its totient is φ = 757888151040.

The previous prime is 3213130010309. The next prime is 3213130010317. The reversal of 3213130010310 is 130100313123.

It is a happy number.

3213130010310 is a `hidden beast` number, since 3 + 21 + 31 + 300 + 1 + 0 + 310 = 666.

It is a super-2 number, since 2×32131300103102 (a number of 26 digits) contains 22 as substring.

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 (3213130010317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43822639 + ... + 43895898.

It is an arithmetic number, because the mean of its divisors is an integer number (97499154987).

Almost surely, 23213130010310 is an apocalyptic number.

3213130010310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3213130010310 is an abundant number, since it is smaller than the sum of its proper divisors (6146788868442).

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

3213130010310 is a wasteful number, since it uses less digits than its factorization.

3213130010310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87718598 (or 87718595 counting only the distinct ones).

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

Adding to 3213130010310 its reverse (130100313123), we get a palindrome (3343230323433).

The spelling of 3213130010310 in words is "three trillion, two hundred thirteen billion, one hundred thirty million, ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 87718537 175437074 263155611 438592685 526311222 789466833 877185370 964903907 1315778055 1578933666 1929807814 2631556110 2894711721 3245585869 3947334165 4824519535 5789423442 6491171738 7894668330 8684135163 9649039070 9736757607 14473558605 16227929345 17368270326 19473515214 28947117210 29210272821 32455858690 35701444559 43420675815 48683788035 58420545642 71402889118 86841351630 97367576070 107104333677 146051364105 178507222795 214208667354 292102728210 321313001031 357014445590 535521668385 642626002062 1071043336770 1606565005155 3213130010310