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102202431100 = 225272111896149
BaseRepresentation
bin101111100101110111…
…1010101011001111100
3100202210122220102201221
41133023233111121330
53133302310243400
6114541240443124
710245446221300
oct1371357253174
9322718812657
10102202431100
113a3866761a0
12179834794a4
139839bb2803
144d37771d00
1529d2786c1a
hex17cbbd567c

102202431100 has 108 divisors (see below), whose sum is σ = 281441752200. Its totient is φ = 31855286400.

The previous prime is 102202431083. The next prime is 102202431101. The reversal of 102202431100 is 1134202201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202431101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 894175 + ... + 1001974.

It is an arithmetic number, because the mean of its divisors is an integer number (2605942150).

Almost surely, 2102202431100 is an apocalyptic number.

102202431100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202431100 is an abundant number, since it is smaller than the sum of its proper divisors (179239321100).

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

102202431100 is a wasteful number, since it uses less digits than its factorization.

102202431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896188 (or 1896174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102202431100 its reverse (1134202201), we get a palindrome (103336633301).

The spelling of 102202431100 in words is "one hundred two billion, two hundred two million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 350 385 490 539 550 700 770 980 1078 1100 1225 1540 1925 2156 2450 2695 3850 4900 5390 7700 10780 13475 26950 53900 1896149 3792298 7584596 9480745 13273043 18961490 20857639 26546086 37922980 41715278 47403725 53092172 66365215 83430556 92911301 94807450 104288195 132730430 146003473 185822602 189614900 208576390 265460860 292006946 331826075 371645204 417152780 464556505 521440975 584013892 663652150 730017365 929113010 1022024311 1042881950 1327304300 1460034730 1858226020 2044048622 2085763900 2322782525 2920069460 3650086825 4088097244 4645565050 5110121555 7300173650 9291130100 10220243110 14600347300 20440486220 25550607775 51101215550 102202431100