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1106375110204 = 2271331191513341
BaseRepresentation
bin10000000110011001000…
…110000110111000111100
310220202202011221220212111
4100012121012012320330
5121111324012011304
62204132310143404
7142635002161450
oct20063106067074
93822664856774
101106375110204
113972359a7711
1215a50a951b64
138043b7ac630
143b79803c660
151dba54d2704
hex10199186e3c

1106375110204 has 96 divisors (see below), whose sum is σ = 2472715026432. Its totient is φ = 421349472000.

The previous prime is 1106375110133. The next prime is 1106375110237. The reversal of 1106375110204 is 4020115736011.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898574 + ... + 2411914.

It is an arithmetic number, because the mean of its divisors is an integer number (25757448192).

Almost surely, 21106375110204 is an apocalyptic number.

1106375110204 is a gapful number since it is divisible by the number (14) 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 1106375110204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236357513216).

1106375110204 is an abundant number, since it is smaller than the sum of its proper divisors (1366339916228).

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

1106375110204 is a wasteful number, since it uses less digits than its factorization.

1106375110204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513587 (or 513585 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 1106375110204 in words is "one trillion, one hundred six billion, three hundred seventy-five million, one hundred ten thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 191 217 364 382 403 434 764 806 868 1337 1612 2483 2674 2821 4966 5348 5642 5921 9932 11284 11842 17381 23684 34762 41447 69524 76973 82894 153946 165788 307892 513341 538811 1026682 1077622 2053364 2155244 3593387 6673433 7186774 13346866 14373548 15913571 26693732 31827142 46714031 63654284 93428062 98048131 111394997 186856124 196096262 206876423 222789994 392192524 413752846 445579988 686336917 827505692 1274625703 1372673834 1448134961 2549251406 2745347668 2896269922 3039492061 5098502812 5792539844 6078984122 8922379921 12157968244 17844759842 21276444427 35689519684 39513396793 42552888854 79026793586 85105777708 158053587172 276593777551 553187555102 1106375110204