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1112227342074 = 234131500910463
BaseRepresentation
bin10000001011110101111…
…010100110011011111010
310221022212000222002210000
4100023311322212123322
5121210320144421244
62210541123533430
7143233013264112
oct20136572463372
93838760862700
101112227342074
11399769380082
1215b68282a276
1380b6207b324
143bb91384042
151dde917c169
hex102f5ea66fa

1112227342074 has 80 divisors (see below), whose sum is σ = 2511979050240. Its totient is φ = 367803745920.

The previous prime is 1112227342049. The next prime is 1112227342081. The reversal of 1112227342074 is 4702437222111.

1112227342074 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 227 + 3 + 420 + 7 + 4 = 666.

It is a super-2 number, since 2×11122273420742 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106295767 + ... + 106306229.

It is an arithmetic number, because the mean of its divisors is an integer number (31399738128).

Almost surely, 21112227342074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112227342074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255989525120).

1112227342074 is an abundant number, since it is smaller than the sum of its proper divisors (1399751708166).

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

1112227342074 is a wasteful number, since it uses less digits than its factorization.

1112227342074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15617 (or 15608 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1112227342074 in words is "one trillion, one hundred twelve billion, two hundred twenty-seven million, three hundred forty-two thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 786 1179 2358 3537 5009 7074 10018 10463 10611 15027 20926 21222 30054 31389 45081 62778 90162 94167 135243 188334 270486 282501 405729 565002 656179 811458 847503 1312358 1370653 1695006 1968537 2741306 3937074 4111959 5905611 8223918 11811222 12335877 17716833 24671754 35433666 37007631 52409167 53150499 74015262 104818334 106300998 111022893 157227501 222045786 314455002 471682503 943365006 1415047509 2830095018 4245142527 6865600877 8490285054 13731201754 20596802631 41193605262 61790407893 123580815786 185371223679 370742447358 556113671037 1112227342074