Search a number
-
+
100021112101010 = 25347449276723201
BaseRepresentation
bin10110101111011111111010…
…110110110101100010010010
3111010010220222021110101022202
4112233133322312311202102
5101102221214144213020
6552421021540203202
730032200254062162
oct2657377266654222
9433126867411282
10100021112101010
1129962796266141
12b274918099502
1343a6c4804a4c9
141a9b094aa65a2
15b86ba2eb1e75
hex5af7fadb5892

100021112101010 has 64 divisors (see below), whose sum is σ = 181032175756800. Its totient is φ = 39788197478400.

The previous prime is 100021112101003. The next prime is 100021112101021. The reversal of 100021112101010 is 10101211120001.

100021112101010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100021112100982 and 100021112101000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4311057410 + ... + 4311080610.

It is an arithmetic number, because the mean of its divisors is an integer number (2828627746200).

Almost surely, 2100021112101010 is an apocalyptic number.

100021112101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021112101010 is a deficient number, since it is larger than the sum of its proper divisors (81011063655790).

100021112101010 is a wasteful number, since it uses less digits than its factorization.

100021112101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26771.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100021112101010 its reverse (10101211120001), we get a palindrome (110122323221011).

The spelling of 100021112101010 in words is "one hundred trillion, twenty-one billion, one hundred twelve million, one hundred one thousand, ten".

Divisors: 1 2 5 10 347 449 694 898 1735 2245 2767 3470 4490 5534 13835 23201 27670 46402 116005 155803 232010 311606 779015 960149 1242383 1558030 1920298 2484766 4800745 6211915 8050747 9601490 10417249 12423830 16101494 20834498 40253735 52086245 64197167 80507470 104172490 128394334 320985835 431106901 641971670 862213802 2155534505 3614785403 4311069010 7229570806 18073927015 22276416949 28824527983 36147854030 44552833898 57649055966 111382084745 144122639915 222764169490 288245279830 10002111210101 20004222420202 50010556050505 100021112101010