Search a number
-
+
102212221033320 = 23353764781355363
BaseRepresentation
bin10111001111011000100011…
…001000000101101101101000
3111101220101121102110212210220
4113033120203020011231220
5101344121112041031240
61001215351321010040
730346406056520136
oct2717304310055550
9441811542425726
10102212221033320
112a627a611193a2
12b5694b6023920
1345057568a0b38
141b3515289a756
15bc3b93aa35d0
hex5cf623205b68

102212221033320 has 128 divisors (see below), whose sum is σ = 314929888064640. Its totient is φ = 26519443614720.

The previous prime is 102212221033297. The next prime is 102212221033327. The reversal of 102212221033320 is 23330122212201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102212221033327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287449959 + ... + 287805321.

It is an arithmetic number, because the mean of its divisors is an integer number (2460389750505).

Almost surely, 2102212221033320 is an apocalyptic number.

102212221033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212221033320 is an abundant number, since it is smaller than the sum of its proper divisors (212717667031320).

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

102212221033320 is a wasteful number, since it uses less digits than its factorization.

102212221033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420195 (or 420191 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102212221033320 its reverse (23330122212201), we get a palindrome (125542343245521).

The spelling of 102212221033320 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty-one million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 64781 129562 194343 259124 323905 355363 388686 518248 647810 710726 777372 971715 1066089 1295620 1421452 1554744 1776815 1943430 2132178 2396897 2591240 2842904 3553630 3886860 4264356 4793794 5330445 7107260 7190691 7773720 8528712 9587588 10660890 11984485 13148431 14214520 14381382 19175176 21321780 23968970 26296862 28762764 35953455 39445293 42643560 47937940 52593724 57525528 65742155 71906910 78890586 95875880 105187448 131484310 143813820 157781172 197226465 262968620 287627640 315562344 394452930 525937240 788905860 1577811720 23020770503 46041541006 69062311509 92083082012 115103852515 138124623018 184166164024 230207705030 276249246036 345311557545 460415410060 552498492072 690623115090 851768508611 920830820120 1381246230180 1703537017222 2555305525833 2762492460360 3407074034444 4258842543055 5110611051666 6814148068888 8517685086110 10221222103332 12776527629165 17035370172220 20442444206664 25553055258330 34070740344440 51106110516660 102212221033320