Search a number
-
+
102221121120 = 2535316869699
BaseRepresentation
bin101111100110011011…
…0101000011001100000
3100202211222001222121220
41133030312220121200
53133322101333440
6114543145215040
710246064123166
oct1371466503140
9322758058556
10102221121120
113a396181298
1217989791480
139840a278b1
144d3a039236
1529d42298d0
hex17ccda8660

102221121120 has 96 divisors (see below), whose sum is σ = 332383564800. Its totient is φ = 26379640320.

The previous prime is 102221121113. The next prime is 102221121161. The reversal of 102221121120 is 21121122201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102221121120.

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, 3419970 + ... + 3449729.

It is an arithmetic number, because the mean of its divisors is an integer number (3462328800).

Almost surely, 2102221121120 is an apocalyptic number.

102221121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221121120 is an abundant number, since it is smaller than the sum of its proper divisors (230162443680).

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

102221121120 is a wasteful number, since it uses less digits than its factorization.

102221121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869748 (or 6869740 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102221121120 its reverse (21121122201), we get a palindrome (123342243321).

The spelling of 102221121120 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 6869699 13739398 20609097 27478796 34348495 41218194 54957592 68696990 82436388 103045485 109915184 137393980 164872776 206090970 212960669 219830368 274787960 329745552 412181940 425921338 549575920 638882007 659491104 824363880 851842676 1064803345 1099151840 1277764014 1648727760 1703685352 2129606690 2555528028 3194410035 3297455520 3407370704 4259213380 5111056056 6388820070 6814741408 8518426760 10222112112 12777640140 17036853520 20444224224 25555280280 34073707040 51110560560 102221121120