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1111011200032 = 25232111758757
BaseRepresentation
bin10000001010101101011…
…011011000110000100000
310221012201021120200112011
4100022231123120300200
5121200322331400112
62210220321442304
7143160615245356
oct20125533306040
93835637520464
101111011200032
113991a4949608
1215b3a34a0394
13809ca124756
143bab7a517d6
151dd77503aa7
hex102ad6d8c20

1111011200032 has 72 divisors (see below), whose sum is σ = 2288624217516. Its totient is φ = 530868450816.

The previous prime is 1111011200023. The next prime is 1111011200081. The reversal of 1111011200032 is 2300021101111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1111008753936 + 2446096 = 1054044^2 + 1564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1111011199985 and 1111011200021.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18879198 + ... + 18937954.

Almost surely, 21111011200032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111011200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144312108758).

1111011200032 is an abundant number, since it is smaller than the sum of its proper divisors (1177613017484).

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

1111011200032 is a wasteful number, since it uses less digits than its factorization.

1111011200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59930 (or 59899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1111011200032 its reverse (2300021101111), we get a palindrome (3411032301143).

The spelling of 1111011200032 in words is "one trillion, one hundred eleven billion, eleven million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 1117 2116 2234 4232 4468 8464 8936 16928 17872 25691 35744 51382 58757 102764 117514 205528 235028 411056 470056 590893 822112 940112 1181786 1351411 1880224 2363572 2702822 4727144 5405644 9454288 10811288 18908576 21622576 31082453 43245152 62164906 65631569 124329812 131263138 248659624 262526276 497319248 525052552 994638496 1050105104 1509526087 2100210208 3019052174 6038104348 12076208696 24152417392 34719100001 48304834784 69438200002 138876400004 277752800008 555505600016 1111011200032