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1077701112 = 2337311987
BaseRepresentation
bin100000000111100…
…0110100111111000
32210002212220000000
41000033012213320
54201342413422
6254534513000
735464210515
oct10017064770
92702786000
101077701112
11503374884
12260b05760
13142374087
14a31b630c
156492dcac
hex403c69f8

1077701112 has 128 divisors (see below), whose sum is σ = 3129907200. Its totient is φ = 347470560.

The previous prime is 1077701083. The next prime is 1077701123. The reversal of 1077701112 is 2111077701.

It is a super-2 number, since 2×10777011122 = 2322879373612073088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541383 + ... + 543369.

It is an arithmetic number, because the mean of its divisors is an integer number (24452400).

Almost surely, 21077701112 is an apocalyptic number.

1077701112 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 1077701112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564953600).

1077701112 is an abundant number, since it is smaller than the sum of its proper divisors (2052206088).

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

1077701112 is an equidigital number, since it uses as much as digits as its factorization.

1077701112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 27.

The square root of 1077701112 is about 32828.3583506699. The cubic root of 1077701112 is about 1025.2570799147.

Adding to 1077701112 its reverse (2111077701), we get a palindrome (3188778813).

The spelling of 1077701112 in words is "one billion, seventy-seven million, seven hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 729 744 837 972 1116 1458 1674 1944 1987 2187 2232 2511 2916 3348 3974 4374 5022 5832 5961 6696 7533 7948 8748 10044 11922 15066 15896 17496 17883 20088 22599 23844 30132 35766 45198 47688 53649 60264 61597 67797 71532 90396 107298 123194 135594 143064 160947 180792 184791 214596 246388 271188 321894 369582 429192 482841 492776 542376 554373 643788 739164 965682 1108746 1287576 1448523 1478328 1663119 1931364 2217492 2897046 3326238 3862728 4345569 4434984 4989357 5794092 6652476 8691138 9978714 11588184 13304952 14968071 17382276 19957428 29936142 34764552 39914856 44904213 59872284 89808426 119744568 134712639 179616852 269425278 359233704 538850556 1077701112