Search a number
-
+
1002199210101 = 33127758338543
BaseRepresentation
bin11101001010101111011…
…10100101100001110101
310112210211222121212121000
432211113232211201311
5112410000444210401
62044223131113513
7132256300505205
oct16452756454165
93483758555530
101002199210101
11357037366001
121422965a2899
1373678ab17ab
143671455a405
151b109879186
hexe957ba5875

1002199210101 has 32 divisors (see below), whose sum is σ = 1496666603520. Its totient is φ = 662767306992.

The previous prime is 1002199210081. The next prime is 1002199210109. The reversal of 1002199210101 is 1010129912001.

It is not a de Polignac number, because 1002199210101 - 29 = 1002199209589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002199210109) by changing a digit.

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, 25982836 + ... + 26021378.

It is an arithmetic number, because the mean of its divisors is an integer number (46770831360).

Almost surely, 21002199210101 is an apocalyptic number.

It is an amenable number.

1002199210101 is a deficient number, since it is larger than the sum of its proper divisors (494467393419).

1002199210101 is a wasteful number, since it uses less digits than its factorization.

1002199210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46262 (or 46256 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 1002199210101 in words is "one trillion, two billion, one hundred ninety-nine million, two hundred ten thousand, one hundred one".

Divisors: 1 3 9 27 127 381 1143 3429 7583 22749 38543 68247 115629 204741 346887 963041 1040661 2889123 4894961 8667369 14684883 26002107 44054649 132163947 292271569 876814707 2630444121 7891332363 37118489263 111355467789 334066403367 1002199210101