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1050101712 = 2433111371613
BaseRepresentation
bin111110100101110…
…100011111010000
32201011221200202000
4332211310133100
54122311223322
6252111154000
735010501012
oct7645643720
92634850660
101050101712
11499833a60
12253815900
1313972c97a
149d6701b2
15622cb3ac
hex3e9747d0

1050101712 has 160 divisors (see below), whose sum is σ = 3314252160. Its totient is φ = 315694080.

The previous prime is 1050101711. The next prime is 1050101779. The reversal of 1050101712 is 2171010501.

It is a happy number.

It is a super-2 number, since 2×10501017122 = 2205427211090661888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050101711) by changing a digit.

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, 650218 + ... + 651830.

It is an arithmetic number, because the mean of its divisors is an integer number (20714076).

Almost surely, 21050101712 is an apocalyptic number.

1050101712 is a gapful number since it is divisible by the number (12) 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 1050101712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657126080).

1050101712 is an abundant number, since it is smaller than the sum of its proper divisors (2264150448).

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

1050101712 is a wasteful number, since it uses less digits than its factorization.

1050101712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 1050101712 is about 32405.2729042667. The cubic root of 1050101712 is about 1016.4291747096.

The spelling of 1050101712 in words is "one billion, fifty million, one hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 137 144 176 198 216 264 274 297 396 411 432 528 548 594 792 822 1096 1188 1233 1507 1584 1613 1644 2192 2376 2466 3014 3226 3288 3699 4521 4752 4839 4932 6028 6452 6576 7398 9042 9678 9864 12056 12904 13563 14517 14796 17743 18084 19356 19728 24112 25808 27126 29034 29592 35486 36168 38712 40689 43551 53229 54252 58068 59184 70972 72336 77424 81378 87102 106458 108504 116136 141944 159687 162756 174204 212916 217008 220981 232272 283888 319374 325512 348408 425832 441962 479061 638748 651024 662943 696816 851664 883924 958122 1277496 1325886 1767848 1916244 1988829 2430791 2554992 2651772 3535696 3832488 3977658 4861582 5303544 5966487 7292373 7664976 7955316 9723164 10607088 11932974 14584746 15910632 19446328 21877119 23865948 29169492 31821264 38892656 43754238 47731896 58338984 65631357 87508476 95463792 116677968 131262714 175016952 262525428 350033904 525050856 1050101712