Search a number
-
+
100202122111120 = 2456718694425767
BaseRepresentation
bin10110110010001000011111…
…111001001110100010010000
3111010210020012011201121222021
4112302020133321032202100
5101113202421230023440
6553040115221021224
730051235665554161
oct2662103771164220
9433706164647867
10100202122111120
1129a22532738917
12b2a3a13b54814
1343bb033cc5273
141aa5b46a97768
15b8b7491c784a
hex5b221fe4e890

100202122111120 has 40 divisors (see below), whose sum is σ = 236447097113664. Its totient is φ = 39482627217792.

The previous prime is 100202122111111. The next prime is 100202122111181. The reversal of 100202122111120 is 21111221202001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100202122111094 and 100202122111103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9347207524 + ... + 9347218243.

Almost surely, 2100202122111120 is an apocalyptic number.

100202122111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202122111120 is an abundant number, since it is smaller than the sum of its proper divisors (136244975002544).

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

100202122111120 is a wasteful number, since it uses less digits than its factorization.

100202122111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18694425847 (or 18694425841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100202122111120 its reverse (21111221202001), we get a palindrome (121313343313121).

The spelling of 100202122111120 in words is "one hundred trillion, two hundred two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 18694425767 37388851534 74777703068 93472128835 149555406136 186944257670 299110812272 373888515340 747777030680 1252526526389 1495554061360 2505053052778 5010106105556 6262632631945 10020212211112 12525265263890 20040424422224 25050530527780 50101061055560 100202122111120