Search a number
-
+
101331320103310 = 251117533310160861
BaseRepresentation
bin10111000010100100001001…
…010101101110000110001110
3111021210011211220222002012011
4113002210021111232012032
5101240203020421301220
6555302544340531434
730225642401252323
oct2702441125560616
9437704756862164
10101331320103310
112a31840a550570
12b4468320b0b7a
13447066bc5b89b
141b04667c7ab4a
15baacd818065a
hex5c290956e18e

101331320103310 has 64 divisors (see below), whose sum is σ = 210721971386304. Its totient is φ = 34673731532800.

The previous prime is 101331320103241. The next prime is 101331320103317. The reversal of 101331320103310 is 13301023133101.

It is a super-3 number, since 3×1013313201033103 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331320103317) 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, 4892280 + ... + 15053140.

It is an arithmetic number, because the mean of its divisors is an integer number (3292530802911).

Almost surely, 2101331320103310 is an apocalyptic number.

101331320103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101331320103310 is an abundant number, since it is smaller than the sum of its proper divisors (109390651282994).

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

101331320103310 is a wasteful number, since it uses less digits than its factorization.

101331320103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166229.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 101331320103310 its reverse (13301023133101), we get a palindrome (114632343236411).

The spelling of 101331320103310 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred twenty million, one hundred three thousand, three hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 374 935 1870 5333 10666 26665 53330 58663 90661 117326 181322 293315 453305 586630 906610 997271 1994542 4986355 9972710 10160861 20321722 50804305 101608610 111769471 172734637 223538942 345469274 558847355 863673185 1117694710 1727346370 1900081007 3800162014 9500405035 19000810070 54187871713 108375743426 270939358565 541878717130 596066588843 921193819121 1192133177686 1842387638242 2980332944215 4605969095605 5960665888430 9211938191210 10133132010331 20266264020662 50665660051655 101331320103310