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1107138888 = 233343199599
BaseRepresentation
bin100000111111101…
…1001100101001000
32212011021111001000
41001333121211020
54231411421023
6301505455000
736302345112
oct10177314510
92764244030
101107138888
11518a50919
1226a941460
131484b018b
14a707a3b2
15672e6243
hex41fd9948

1107138888 has 128 divisors (see below), whose sum is σ = 3168000000. Its totient is φ = 358053696.

The previous prime is 1107138881. The next prime is 1107138899. The reversal of 1107138888 is 8888317011.

It is not an unprimeable number, because it can be changed into a prime (1107138881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848013 + ... + 1848611.

It is an arithmetic number, because the mean of its divisors is an integer number (24750000).

Almost surely, 21107138888 is an apocalyptic number.

1107138888 is a gapful number since it is divisible by the number (18) 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 1107138888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584000000).

1107138888 is an abundant number, since it is smaller than the sum of its proper divisors (2060861112).

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

1107138888 is a wasteful number, since it uses less digits than its factorization.

1107138888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The square root of 1107138888 is about 33273.6966386364. The cubic root of 1107138888 is about 1034.5084328166.

The spelling of 1107138888 in words is "one billion, one hundred seven million, one hundred thirty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 199 216 258 344 387 398 516 597 599 774 796 1032 1161 1194 1198 1548 1592 1791 1797 2322 2388 2396 3096 3582 3594 4644 4776 4792 5373 5391 7164 7188 8557 9288 10746 10782 14328 14376 16173 17114 21492 21564 25671 25757 32346 34228 42984 43128 51342 51514 64692 68456 77013 77271 102684 103028 119201 129384 154026 154542 205368 206056 231039 231813 238402 308052 309084 357603 462078 463626 476804 616104 618168 695439 715206 924156 927252 953608 1072809 1390878 1430412 1848312 1854504 2145618 2781756 2860824 3218427 4291236 5125643 5563512 6436854 8582472 10251286 12873708 15376929 20502572 25747416 30753858 41005144 46130787 61507716 92261574 123015432 138392361 184523148 276784722 369046296 553569444 1107138888