Search a number
-
+
1001211310422 = 2361722376131
BaseRepresentation
bin11101001000111001101…
…10000011000101010110
310112201022010201101000000
432210130312003011112
5112400440043413142
62043541121032130
7132222643502211
oct16443466030526
93481263641000
101001211310422
1135667a757394
1214205b785646
137354c22017b
143665d27c778
151b09cc8814c
hexe91cd83156

1001211310422 has 84 divisors (see below), whose sum is σ = 2391940406196. Its totient is φ = 314105376960.

The previous prime is 1001211310403. The next prime is 1001211310427. The reversal of 1001211310422 is 2240131121001.

1001211310422 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 211 + 31 + 0 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001211310395 and 1001211310404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001211310427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 766704 + ... + 1609427.

Almost surely, 21001211310422 is an apocalyptic number.

1001211310422 is an abundant number, since it is smaller than the sum of its proper divisors (1390729095774).

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

1001211310422 is an equidigital number, since it uses as much as digits as its factorization.

1001211310422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376185 (or 2376153 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1001211310422 its reverse (2240131121001), we get a palindrome (3241342431423).

The spelling of 1001211310422 in words is "one trillion, one billion, two hundred eleven million, three hundred ten thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 289 306 459 486 578 729 867 918 1377 1458 1734 2601 2754 4131 5202 7803 8262 12393 15606 23409 24786 46818 70227 140454 210681 421362 2376131 4752262 7128393 14256786 21385179 40394227 42770358 64155537 80788454 121182681 128311074 192466611 242365362 363548043 384933222 577399833 686701859 727096086 1090644129 1154799666 1373403718 1732199499 2060105577 2181288258 3271932387 3464398998 4120211154 6180316731 6543864774 9815797161 12360633462 18540950193 19631594322 29447391483 37081900386 55622850579 58894782966 111245701158 166868551737 333737103474 500605655211 1001211310422