Search a number
-
+
102202210011100 = 22527918427702067
BaseRepresentation
bin10111001111001111001110…
…011011000100011111011100
3111101212102202201222021001011
4113033033032123010133130
5101343440111230323400
61001211014102025004
730345603016320343
oct2717171633043734
9441772681867034
10102202210011100
112a623794166211
12b567581418164
13450481c824754
141b348830a8b5a
15bc37a9c698ba
hex5cf3ce6c47dc

102202210011100 has 72 divisors (see below), whose sum is σ = 224598630045440. Its totient is φ = 40361156521920.

The previous prime is 102202210011049. The next prime is 102202210011101. The reversal of 102202210011100 is 1110012202201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202210011101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145222267 + ... + 145924333.

Almost surely, 2102202210011100 is an apocalyptic number.

102202210011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202210011100 is an abundant number, since it is smaller than the sum of its proper divisors (122396420034340).

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

102202210011100 is a wasteful number, since it uses less digits than its factorization.

102202210011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720587 (or 720580 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102202210011100 its reverse (1110012202201), we get a palindrome (103312222213301).

The spelling of 102202210011100 in words is "one hundred two trillion, two hundred two billion, two hundred ten million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 18427 36854 73708 92135 184270 368540 460675 702067 921350 1404134 1455733 1842700 2808268 2911466 3510335 5822932 7020670 7278665 14041340 14557330 17551675 29114660 35103350 36393325 55463293 70206700 72786650 110926586 145573300 221853172 277316465 554632930 1109265860 1386582325 2773164650 5546329300 12936988609 25873977218 51747954436 64684943045 129369886090 258739772180 323424715225 646849430450 1022022100111 1293698860900 2044044200222 4088088400444 5110110500555 10220221001110 20440442002220 25550552502775 51101105005550 102202210011100