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101100102122202 = 23412719371618481
BaseRepresentation
bin10110111111001100110011…
…101011000111101011011010
3111020222002000221112122100020
4112333030303223013223122
5101222411002120402302
6555004425025051310
730203145530661201
oct2677146353075332
9436862027478306
10101100102122202
112a239348a79087
12b409a63786b36
134454911128951
141ad73b1aa0238
15ba4ca41e3ebc
hex5bf333ac7ada

101100102122202 has 64 divisors (see below), whose sum is σ = 208118243870208. Its totient is φ = 32721781248000.

The previous prime is 101100102122183. The next prime is 101100102122251. The reversal of 101100102122202 is 202221201001101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61656802 + ... + 63275282.

It is an arithmetic number, because the mean of its divisors is an integer number (3251847560472).

Almost surely, 2101100102122202 is an apocalyptic number.

101100102122202 is an abundant number, since it is smaller than the sum of its proper divisors (107018141748006).

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

101100102122202 is a wasteful number, since it uses less digits than its factorization.

101100102122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619735.

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

Adding to 101100102122202 its reverse (202221201001101), we get a palindrome (303321303123303).

The spelling of 101100102122202 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 41 82 123 246 271 542 813 937 1626 1874 2811 5622 11111 22222 33333 38417 66666 76834 115251 230502 253927 507854 761781 1523562 1618481 3236962 4855443 9710886 10411007 20822014 31233021 62466042 66357721 132715442 199073163 398146326 438608351 877216702 1315825053 1516516697 2631650106 3033033394 4549550091 9099100182 17982942391 35965884782 53948827173 62177184577 107897654346 124354369154 186531553731 373063107462 410976024887 821952049774 1232928074661 2465856149322 16850017020367 33700034040734 50550051061101 101100102122202