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1100022212112 = 243831511828543
BaseRepresentation
bin10000000000011110011…
…011101110011000010000
310220011100102212021000120
4100000132123232120100
5121010321141241422
62201202045350240
7142321401345615
oct20003633563020
93804312767016
101100022212112
1139457595230a
12159237268380
137c968584535
143b35440a50c
151d9328dc45c
hex1001e6ee610

1100022212112 has 80 divisors (see below), whose sum is σ = 2895009374208. Its totient is φ = 359857065600.

The previous prime is 1100022212083. The next prime is 1100022212141. The reversal of 1100022212112 is 2112122200011.

It is an interprime number because it is at equal distance from previous prime (1100022212083) and next prime (1100022212141).

It is a junction number, because it is equal to n+sod(n) for n = 1100022212091 and 1100022212100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312688 + ... + 1515855.

Almost surely, 21100022212112 is an apocalyptic number.

1100022212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100022212112 is an abundant number, since it is smaller than the sum of its proper divisors (1794987162096).

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

1100022212112 is a wasteful number, since it uses less digits than its factorization.

1100022212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828788 (or 1828782 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1100022212112 its reverse (2112122200011), we get a palindrome (3212144412123).

The spelling of 1100022212112 in words is "one trillion, one hundred billion, twenty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 151 166 249 302 332 453 498 604 664 906 996 1208 1328 1812 1992 2416 3624 3984 7248 12533 25066 37599 50132 75198 100264 150396 200528 300792 601584 1828543 3657086 5485629 7314172 10971258 14628344 21942516 29256688 43885032 87770064 151769069 276109993 303538138 455307207 552219986 607076276 828329979 910614414 1104439972 1214152552 1656659958 1821228828 2208879944 2428305104 3313319916 3642457656 4417759888 6626639832 7284915312 13253279664 22917129419 45834258838 68751388257 91668517676 137502776514 183337035352 275005553028 366674070704 550011106056 1100022212112