Search a number
-
+
101323100120 = 235111759229591
BaseRepresentation
bin101111001011101010…
…0111100111111011000
3100200112101021210101212
41132113110330333120
53130002203200440
6114314105402252
710214611066154
oct1362724747730
9320471253355
10101323100120
1139a75280880
1217778a99388
139729974c18
144c92a76064
15298048e465
hex179753cfd8

101323100120 has 128 divisors (see below), whose sum is σ = 267796108800. Its totient is φ = 34089523200.

The previous prime is 101323100113. The next prime is 101323100141. The reversal of 101323100120 is 21001323101.

It is a junction number, because it is equal to n+sod(n) for n = 101323100095 and 101323100104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326525 + ... + 556115.

It is an arithmetic number, because the mean of its divisors is an integer number (2092157100).

Almost surely, 2101323100120 is an apocalyptic number.

101323100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101323100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133898054400).

101323100120 is an abundant number, since it is smaller than the sum of its proper divisors (166473008680).

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

101323100120 is a wasteful number, since it uses less digits than its factorization.

101323100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229689 (or 229685 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101323100120 its reverse (21001323101), we get a palindrome (122324423221).

The spelling of 101323100120 in words is "one hundred one billion, three hundred twenty-three million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 59 68 85 88 110 118 136 170 187 220 236 295 340 374 440 472 590 649 680 748 935 1003 1180 1298 1496 1870 2006 2360 2596 3245 3740 4012 5015 5192 6490 7480 8024 10030 11033 12980 20060 22066 25960 40120 44132 55165 88264 110330 220660 229591 441320 459182 918364 1147955 1836728 2295910 2525501 3903047 4591820 5051002 7806094 9183640 10102004 12627505 13545869 15612188 19515235 20204008 25255010 27091738 31224376 39030470 42933517 50510020 54183476 67729345 78060940 85867034 101020040 108366952 135458690 149004559 156121880 171734068 214667585 230279773 270917380 298009118 343468136 429335170 460559546 541834760 596018236 745022795 858670340 921119092 1151398865 1192036472 1490045590 1717340680 1842238184 2302797730 2533077503 2980091180 4605595460 5066155006 5960182360 9211190920 10132310012 12665387515 20264620024 25330775030 50661550060 101323100120