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210030330300102 = 23513193117215519
BaseRepresentation
bin101111110000010101111111…
…001110101100011011000110
31000112122200222211200012100000
4233300111333032230123012
5210012114104024100402
62022410333550102130
762145122244166044
oct5760257716543306
91015580884605300
10210030330300102
1160a163a9a7a794
121b6813507aa946
139026a10058a30
1439c1744dbb394
151943586b02c1c
hexbf057f3ac6c6

210030330300102 has 96 divisors (see below), whose sum is σ = 508484760376320. Its totient is φ = 64591246294560.

The previous prime is 210030330300097. The next prime is 210030330300137. The reversal of 210030330300102 is 201003033030012.

210030330300102 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 30 + 330 + 300 + 1 + 0 + 2 = 666.

It is a super-2 number, since 2×2100303303001022 (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3592299 + ... + 20807817.

It is an arithmetic number, because the mean of its divisors is an integer number (5296716253920).

Almost surely, 2210030330300102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210030330300102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254242380188160).

210030330300102 is an abundant number, since it is smaller than the sum of its proper divisors (298454430076218).

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

210030330300102 is a wasteful number, since it uses less digits than its factorization.

210030330300102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17217480 (or 17217468 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 210030330300102 its reverse (201003033030012), we get a palindrome (411033363330114).

It can be divided in two parts, 21003033030010 and 2, that added together give a palindrome (21003033030012).

The spelling of 210030330300102 in words is "two hundred ten trillion, thirty billion, three hundred thirty million, three hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 1931 2106 3159 3862 5793 6318 11586 17379 25103 34758 50206 52137 75309 104274 150618 156411 225927 312822 451854 469233 677781 938466 1355562 2033343 4066686 6100029 12200058 17215519 34431038 51646557 103293114 154939671 223801747 309879342 447603494 464819013 671405241 929638026 1342810482 1394457039 2014215723 2788914078 4028431446 4183371117 6042647169 8366742234 12085294338 18127941507 33243167189 36255883014 54383824521 66486334378 99729501567 108767649042 199459003134 299188504701 432161173457 598377009402 864322346914 897565514103 1296483520371 1795131028206 2592967040742 2692696542309 3889450561113 5385393084618 7778901122226 8078089626927 11668351683339 16156179253854 23336703366678 35005055050017 70010110100034 105015165150051 210030330300102