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3213121310130 = 2351737255166749
BaseRepresentation
bin101110110000011100111…
…101000100110110110010
3102101011121221121120121210
4232300130331010312302
5410120433023411010
610500030524500550
7451066066334424
oct56603475046662
912334557546553
103213121310130
11102974a239436
1243a8839aa756
131a3cc43b60c4
14b17318c0814
15588a9acdb20
hex2ec1cf44db2

3213121310130 has 128 divisors (see below), whose sum is σ = 8389199808000. Its totient is φ = 784315699200.

The previous prime is 3213121310051. The next prime is 3213121310137. The reversal of 3213121310130 is 310131213123.

It is a happy number.

It is a super-2 number, since 2×32131213101302 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3213121310097 and 3213121310106.

It is not an unprimeable number, because it can be changed into a prime (3213121310137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48103996 + ... + 48170744.

It is an arithmetic number, because the mean of its divisors is an integer number (65540623500).

Almost surely, 23213121310130 is an apocalyptic number.

3213121310130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213121310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194599904000).

3213121310130 is an abundant number, since it is smaller than the sum of its proper divisors (5176078497870).

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

3213121310130 is a wasteful number, since it uses less digits than its factorization.

3213121310130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69364.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 3213121310130 its reverse (310131213123), we get a palindrome (3523252523253).

The spelling of 3213121310130 in words is "three trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 510 555 629 1110 1258 1887 2551 3145 3774 5102 6290 7653 9435 12755 15306 18870 25510 38265 43367 66749 76530 86734 94387 130101 133498 188774 200247 216835 260202 283161 333745 400494 433670 471935 566322 650505 667490 943870 1001235 1134733 1301010 1415805 1604579 2002470 2269466 2469713 2831610 3209158 3404199 4813737 4939426 5673665 6808398 7409139 8022895 9627474 11347330 12348565 14818278 16045790 17020995 24068685 24697130 34041990 37045695 41985121 48137370 74091390 83970242 125955363 170276699 209925605 251910726 340553398 419851210 510830097 629776815 851383495 1021660194 1259553630 1702766990 2554150485 2894703883 5108300970 5789407766 6300237863 8684111649 12600475726 14473519415 17368223298 18900713589 28947038830 31501189315 37801427178 43420558245 63002378630 86841116490 94503567945 107104043671 189007135890 214208087342 321312131013 535520218355 642624262026 1071040436710 1606560655065 3213121310130