Search a number
-
+
202101442134004 = 22751133357742043
BaseRepresentation
bin101101111100111101101000…
…101010101011111111110100
3222111120201010222202020201201
4231330331220222223333310
5202442212223141242004
61553500042031302244
760366230065610440
oct5574755052537764
9874521128666651
10202101442134004
1159439816346916
121a80074407a984
1388a01130443ca
1437c9a94c93820
1518571c7bc06a4
hexb7cf68aabff4

202101442134004 has 48 divisors (see below), whose sum is σ = 404303594869888. Its totient is φ = 86593324866048.

The previous prime is 202101442133933. The next prime is 202101442134013. The reversal of 202101442134004 is 400431244101202.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4806996607 + ... + 4807038649.

Almost surely, 2202101442134004 is an apocalyptic number.

It is an amenable number.

202101442134004 is an abundant number, since it is smaller than the sum of its proper divisors (202202152735884).

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

202101442134004 is a wasteful number, since it uses less digits than its factorization.

202101442134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80744 (or 80742 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 202101442134004 its reverse (400431244101202), we get a palindrome (602532686235206).

The spelling of 202101442134004 in words is "two hundred two trillion, one hundred one billion, four hundred forty-two million, one hundred thirty-four thousand, four".

Divisors: 1 2 4 7 14 28 5113 10226 20452 33577 35791 42043 67154 71582 84086 134308 143164 168172 235039 294301 470078 588602 940156 1177204 171679201 214965859 343358402 429931718 686716804 859863436 1201754407 1411677811 1504761013 2403508814 2823355622 3009522026 4807017628 5646711244 6019044052 9881744677 19763489354 39526978708 7217908647643 14435817295286 28871634590572 50525360533501 101050721067002 202101442134004