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102210301032304 = 24199718353188861
BaseRepresentation
bin10111001111010110110000…
…101011110111011101110000
3111101220012122121122201120011
4113033112300223313131300
5101344103144031013204
61001214433012424304
730346310354005423
oct2717266053673560
9441805577581504
10102210301032304
112a6271663521a3
12b56905b018094
13450550bb8656a
141b3500d8a79ba
15bc3ad0244304
hex5cf5b0af7770

102210301032304 has 80 divisors (see below), whose sum is σ = 210616832472480. Its totient is φ = 47913413345280.

The previous prime is 102210301032289. The next prime is 102210301032311. The reversal of 102210301032304 is 403230103012201.

It is a super-2 number, since 2×1022103010323042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541098834 + ... + 541287694.

It is an arithmetic number, because the mean of its divisors is an integer number (2632710405906).

Almost surely, 2102210301032304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210301032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105308416236240).

102210301032304 is an abundant number, since it is smaller than the sum of its proper divisors (108406531440176).

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

102210301032304 is a wasteful number, since it uses less digits than its factorization.

102210301032304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207338 (or 207332 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102210301032304 its reverse (403230103012201), we get a palindrome (505440404044505).

The spelling of 102210301032304 in words is "one hundred two trillion, two hundred ten billion, three hundred one million, thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 76 97 152 194 304 388 776 1552 1843 3686 7372 14744 18353 29488 36706 73412 146824 188861 293648 348707 377722 697414 755444 1394828 1510888 1780241 2789656 3021776 3560482 3588359 5579312 7120964 7176718 14241928 14353436 18319517 28483856 28706872 33824579 36639034 57413744 67649158 73278068 135298316 146556136 270596632 293112272 348070823 541193264 696141646 1392283292 2784566584 3466165933 5569133168 6932331866 13864663732 27729327464 55458654928 65857152727 131714305454 263428610908 336218095501 526857221816 672436191002 1053714443632 1344872382004 2689744764008 5379489528016 6388143814519 12776287629038 25552575258076 51105150516152 102210301032304