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1006061712150 = 235211679100513
BaseRepresentation
bin11101010001111011111…
…00110111001100010110
310120011211011121022022110
432220331330313030112
5112440403244242100
62050102310011450
7132454101312135
oct16507574671426
93504734538273
101006061712150
11358739676a60
12142b94046b86
1373b43090971
143699d51b91c
151b2839de250
hexea3df37316

1006061712150 has 96 divisors (see below), whose sum is σ = 2762479225728. Its totient is φ = 240253516800.

The previous prime is 1006061712119. The next prime is 1006061712157. The reversal of 1006061712150 is 512171606001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006061712157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4439707 + ... + 4660806.

It is an arithmetic number, because the mean of its divisors is an integer number (28775825268).

Almost surely, 21006061712150 is an apocalyptic number.

1006061712150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006061712150 is an abundant number, since it is smaller than the sum of its proper divisors (1756417513578).

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

1006061712150 is a wasteful number, since it uses less digits than its factorization.

1006061712150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100606 (or 9100601 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 1006061712150 in words is "one trillion, six billion, sixty-one million, seven hundred twelve thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 67 75 110 134 150 165 201 275 330 335 402 550 670 737 825 1005 1474 1650 1675 2010 2211 3350 3685 4422 5025 7370 10050 11055 18425 22110 36850 55275 110550 9100513 18201026 27301539 45502565 54603078 91005130 100105643 136507695 200211286 227512825 273015390 300316929 455025650 500528215 600633858 609734371 682538475 1001056430 1219468742 1365076950 1501584645 1829203113 2502641075 3003169290 3048671855 3658406226 5005282150 6097343710 6707078081 7507923225 9146015565 13414156162 15015846450 15243359275 18292031130 20121234243 30486718550 33535390405 40242468486 45730077825 67070780810 91460155650 100606171215 167676952025 201212342430 335353904050 503030856075 1006061712150