Search a number
-
+
10100021010021 = 3319471392130091
BaseRepresentation
bin1001001011111001100000…
…1010100001111001100101
31022202112220211102000102000
42102332120022201321211
52310434320334310041
633251515142235513
72061462636036435
oct222763012417145
938675824360360
1010100021010021
11324443860a278
121171550725b99
13583574113017
1426cbb4c9c2c5
15127ad0e2cbb6
hex92f982a1e65

10100021010021 has 64 divisors (see below), whose sum is σ = 16087327641600. Its totient is φ = 6242582131200.

The previous prime is 10100021010019. The next prime is 10100021010029. The reversal of 10100021010021 is 12001012000101.

It is a happy number.

It is not a de Polignac number, because 10100021010021 - 21 = 10100021010019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100021009985 and 10100021010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100021010029) 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, 335634186 + ... + 335664276.

It is an arithmetic number, because the mean of its divisors is an integer number (251364494400).

Almost surely, 210100021010021 is an apocalyptic number.

It is an amenable number.

10100021010021 is a deficient number, since it is larger than the sum of its proper divisors (5987306631579).

10100021010021 is a wasteful number, since it uses less digits than its factorization.

10100021010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44087 (or 44081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100021010021 its reverse (12001012000101), we get a palindrome (22101033010122).

The spelling of 10100021010021 in words is "ten trillion, one hundred billion, twenty-one million, ten thousand, twenty-one".

Divisors: 1 3 9 19 27 47 57 141 171 423 513 893 1269 2679 8037 13921 24111 30091 41763 90273 125289 264499 270819 375867 571729 654287 793497 812457 1414277 1715187 1962861 2380491 4242831 5145561 5888583 7141473 12431453 12728493 15436683 17665749 26871263 37294359 38185479 80613789 111883077 241841367 335649231 418896811 725524101 1256690433 3770071299 7959039409 11310213897 19688150117 23877118227 59064450351 71631354681 177193351053 214894064043 374074852223 531580053159 1122224556669 3366673670007 10100021010021