Search a number
-
+
100011331332110 = 25112354173068707
BaseRepresentation
bin10110101111010110110011…
…111000001010100000001110
3111010002222201122012211201202
4112233112303320022200032
5101102041201310111420
6552412323224305502
730031403010652022
oct2657266370124016
9433088648184652
10100011331332110
1129959627279760
12b272a48612292
1343a60498bb7a3
141a9a807ad0382
15b867ce4ab575
hex5af5b3e0a80e

100011331332110 has 64 divisors (see below), whose sum is σ = 205303194791424. Its totient is φ = 34722249091200.

The previous prime is 100011331332109. The next prime is 100011331332119. The reversal of 100011331332110 is 11233133110001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011331332119) 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, 35165624 + ... + 37903083.

It is an arithmetic number, because the mean of its divisors is an integer number (3207862418616).

Almost surely, 2100011331332110 is an apocalyptic number.

100011331332110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011331332110 is an abundant number, since it is smaller than the sum of its proper divisors (105291863459314).

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

100011331332110 is a wasteful number, since it uses less digits than its factorization.

100011331332110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73069289.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 100011331332110 its reverse (11233133110001), we get a palindrome (111244464442111).

The spelling of 100011331332110 in words is "one hundred trillion, eleven billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 230 253 506 541 1082 1265 2530 2705 5410 5951 11902 12443 24886 29755 59510 62215 124430 136873 273746 684365 1368730 73068707 146137414 365343535 730687070 803755777 1607511554 1680580261 3361160522 4018778885 8037557770 8402901305 16805802610 18486382871 36972765742 39530170487 79060340974 92431914355 184863828710 197650852435 395301704870 434831875357 869663750714 909193921201 1818387842402 2174159376785 4348318753570 4545969606005 9091939212010 10001133133211 20002266266422 50005665666055 100011331332110