Search a number
-
+
100202022002001 = 31753311367324791
BaseRepresentation
bin10110110010001000011001…
…111011010101110101010001
3111010210012221012100120002010
4112302020121323111311101
5101113202220113031001
6553040101243213133
730051233341625643
oct2662103173256521
9433705835316063
10100202022002001
1129a22491182407
12b2a39a65171a9
1343bb019343bba
141aa5b37678893
15b8b7405008d6
hex5b2219ed5d51

100202022002001 has 64 divisors (see below), whose sum is σ = 144988645441536. Its totient is φ = 61319520537600.

The previous prime is 100202022001987. The next prime is 100202022002057. The reversal of 100202022002001 is 100200220202001.

It is not a de Polignac number, because 100202022002001 - 213 = 100202021993809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100202022052001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308349916 + ... + 308674706.

It is an arithmetic number, because the mean of its divisors is an integer number (2265447585024).

Almost surely, 2100202022002001 is an apocalyptic number.

It is an amenable number.

100202022002001 is a deficient number, since it is larger than the sum of its proper divisors (44786623439535).

100202022002001 is a wasteful number, since it uses less digits than its factorization.

100202022002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325542.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100202022002001 its reverse (100200220202001), we get a palindrome (200402242204002).

The spelling of 100202022002001 in words is "one hundred trillion, two hundred two billion, twenty-two million, two thousand, one".

Divisors: 1 3 17 51 53 159 311 367 901 933 1101 2703 5287 6239 15861 16483 18717 19451 49449 58353 114137 280211 324791 330667 342411 840633 974373 992001 1940329 5521447 5820987 6049261 16564341 17213923 18147783 51641769 101010001 102837437 119198297 292636691 303030003 308512311 357594891 877910073 1717170017 2026371049 5151510051 5353530053 6079113147 6317509741 16060590159 18952529223 37070670367 91010010901 107397665597 111212011101 273030032703 322192996791 630201396239 1890604188717 1964745529451 5894236588353 33400674000667 100202022002001