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1106379011070 = 233517922892179
BaseRepresentation
bin10000000110011001010…
…100111111001111111110
310220202202110022002212000
4100012121110333033332
5121111331011323240
62204132525523130
7142635050266314
oct20063124771776
93822673262760
101106379011070
11397238121473
1215a5101134a6
138043c547038
143b7987760b4
151dba5a03430
hex1019953f3fe

1106379011070 has 64 divisors (see below), whose sum is σ = 2966826528000. Its totient is φ = 293386153248.

The previous prime is 1106379011063. The next prime is 1106379011119. The reversal of 1106379011070 is 701109736011.

1106379011070 is a `hidden beast` number, since 1 + 1 + 0 + 637 + 9 + 0 + 1 + 10 + 7 + 0 = 666.

It is a super-2 number, since 2×11063790110702 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11397760 + ... + 11494419.

It is an arithmetic number, because the mean of its divisors is an integer number (46356664500).

Almost surely, 21106379011070 is an apocalyptic number.

1106379011070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1106379011070 is an abundant number, since it is smaller than the sum of its proper divisors (1860447516930).

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

1106379011070 is a wasteful number, since it uses less digits than its factorization.

1106379011070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22892374 (or 22892368 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 1106379011070 in words is "one trillion, one hundred six billion, three hundred seventy-nine million, eleven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 179 270 358 537 895 1074 1611 1790 2685 3222 4833 5370 8055 9666 16110 24165 48330 22892179 45784358 68676537 114460895 137353074 206029611 228921790 343382685 412059222 618088833 686765370 1030148055 1236177666 2060296110 3090444165 4097700041 6180888330 8195400082 12293100123 20488500205 24586200246 36879300369 40977000410 61465500615 73758600738 110637901107 122931001230 184396501845 221275802214 368793003690 553189505535 1106379011070