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10111202121104 = 247228961445321
BaseRepresentation
bin1001001100100011001010…
…0111000101010110010000
31022210121210001122022100022
42103020302213011112100
52311130220220333404
633301004440243012
72062340004646100
oct223106247052620
938717701568308
1010111202121104
113249155aa9547
121173751170468
13584636710196
1426d555c35200
151280378448be
hex932329c5590

10111202121104 has 60 divisors (see below), whose sum is σ = 22789733654988. Its totient is φ = 4333212979200.

The previous prime is 10111202121073. The next prime is 10111202121109. The reversal of 10111202121104 is 40112120211101.

It can be written as a sum of positive squares in 2 ways, for example, as 8541824569600 + 1569377551504 = 2922640^2 + 1252748^2 .

It is not an unprimeable number, because it can be changed into a prime (10111202121109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22482764 + ... + 22928084.

Almost surely, 210111202121104 is an apocalyptic number.

10111202121104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10111202121104 is an abundant number, since it is smaller than the sum of its proper divisors (12678531533884).

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

10111202121104 is a wasteful number, since it uses less digits than its factorization.

10111202121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474304 (or 474291 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10111202121104 its reverse (40112120211101), we get a palindrome (50223322332205).

The spelling of 10111202121104 in words is "ten trillion, one hundred eleven billion, two hundred two million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 28961 57922 115844 202727 231688 405454 445321 463376 810908 890642 1419089 1621816 1781284 2838178 3117247 3243632 3562568 5676356 6234494 7125136 11352712 12468988 21820729 22705424 24937976 43641458 49875952 87282916 174565832 349131664 12896941481 25793882962 51587765924 90278590367 103175531848 180557180734 206351063696 361114361468 631950132569 722228722936 1263900265138 1444457445872 2527800530276 5055601060552 10111202121104