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1000002210012 = 22321329183140241
BaseRepresentation
bin11101000110101001100…
…01101100100011011100
310112121011212120201001100
432203110301230203130
5112341001031210022
62043221125513100
7132150662352141
oct16432461544334
93477155521040
101000002210012
1135610a1a5353
12141982872790
13733b8890740
14365868603c8
151b02ba511ac
hexe8d4c6c8dc

1000002210012 has 144 divisors (see below), whose sum is σ = 2817706207680. Its totient is φ = 296913254400.

The previous prime is 1000002210001. The next prime is 1000002210043. The reversal of 1000002210012 is 2100122000001.

1000002210012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1000002209976 and 1000002210003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24830212 + ... + 24870452.

It is an arithmetic number, because the mean of its divisors is an integer number (19567404220).

Almost surely, 21000002210012 is an apocalyptic number.

1000002210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000002210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408853103840).

1000002210012 is an abundant number, since it is smaller than the sum of its proper divisors (1817703997668).

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

1000002210012 is a wasteful number, since it uses less digits than its factorization.

1000002210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42124 (or 42119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000002210012 its reverse (2100122000001), we get a palindrome (3100124210013).

The spelling of 1000002210012 in words is "one trillion, two million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 1831 2262 3393 3662 4524 5493 6786 7324 10986 13572 16479 21972 23803 32958 40241 47606 53099 65916 71409 80482 95212 106198 120723 142818 159297 160964 212396 214227 241446 285636 318594 362169 428454 477891 482892 523133 637188 690287 724338 856908 955782 1046266 1166989 1380574 1448676 1569399 1911564 2070861 2092532 2333978 2761148 3138798 3500967 4141722 4667956 4708197 6212583 6277596 7001934 8283444 9416394 10502901 12425166 14003868 15170857 18832788 21005802 24850332 30341714 42011604 45512571 60683428 73681271 91025142 136537713 147362542 182050284 221043813 273075426 294725084 442087626 546150852 663131439 884175252 957856523 1326262878 1915713046 2136756859 2652525756 2873569569 3831426092 4273513718 5747139138 6410270577 8547027436 8620708707 11494278276 12820541154 17241417414 19230811731 25641082308 27777839167 34482834828 38461623462 55555678334 76923246924 83333517501 111111356668 166667035002 250000552503 333334070004 500001105006 1000002210012