Search a number
-
+
100302111121100 = 22527821174529513
BaseRepresentation
bin10110110011100101100111…
…101101000001111011001100
3111011010210021120200121202012
4112303211213231001323030
5101121322210421333400
6553154053112320352
730061405550250620
oct2663454755017314
9434123246617665
10100302111121100
1129a60982947a59
12b2bb27a0a30b8
1343c75aa457625
141aaa910497180
15b8e14c490d35
hex5b3967b41ecc

100302111121100 has 72 divisors (see below), whose sum is σ = 249052220241888. Its totient is φ = 34347407961600.

The previous prime is 100302111121097. The next prime is 100302111121127. The reversal of 100302111121100 is 1121111203001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86690057 + ... + 87839456.

Almost surely, 2100302111121100 is an apocalyptic number.

100302111121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100302111121100 is an abundant number, since it is smaller than the sum of its proper divisors (148750109120788).

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

100302111121100 is a wasteful number, since it uses less digits than its factorization.

100302111121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174530355 (or 174530348 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100302111121100 its reverse (1121111203001), we get a palindrome (101423222324101).

The spelling of 100302111121100 in words is "one hundred trillion, three hundred two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 821 1642 3284 4105 5747 8210 11494 16420 20525 22988 28735 41050 57470 82100 114940 143675 287350 574700 174529513 349059026 698118052 872647565 1221706591 1745295130 2443413182 3490590260 4363237825 4886826364 6108532955 8726475650 12217065910 17452951300 24434131820 30542664775 61085329550 122170659100 143288730173 286577460346 573154920692 716443650865 1003021111211 1432887301730 2006042222422 2865774603460 3582218254325 4012084444844 5015105556055 7164436508650 10030211112110 14328873017300 20060422224220 25075527780275 50151055560550 100302111121100