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13300021110 = 23537731511087
BaseRepresentation
bin11000110001011111…
…00011011101110110
31021022220100002001110
430120233203131312
5204214301133420
610035425335450
7650405212515
oct143057433566
937286302043
1013300021110
115705573792
1226b2197586
13133c5a929c
1490254667c
1552c966ee0
hex318be3776

13300021110 has 128 divisors (see below), whose sum is σ = 33482686464. Its totient is φ = 3377894400.

The previous prime is 13300021099. The next prime is 13300021121. The reversal of 13300021110 is 1112000331.

13300021110 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13300021099) and next prime (13300021121).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12234987 + ... + 12236073.

It is an arithmetic number, because the mean of its divisors is an integer number (261583488).

Almost surely, 213300021110 is an apocalyptic number.

13300021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16741343232).

13300021110 is an abundant number, since it is smaller than the sum of its proper divisors (20182665354).

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

13300021110 is a wasteful number, since it uses less digits than its factorization.

13300021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13300021110 its reverse (1112000331), we get a palindrome (14412021441).

The spelling of 13300021110 in words is "thirteen billion, three hundred million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 73 74 111 146 151 185 219 222 302 365 370 438 453 555 730 755 906 1087 1095 1110 1510 2174 2190 2265 2701 3261 4530 5402 5435 5587 6522 8103 10870 11023 11174 13505 16206 16305 16761 22046 27010 27935 32610 33069 33522 40219 40515 55115 55870 66138 79351 80438 81030 83805 110230 120657 158702 164137 165345 167610 201095 238053 241314 328274 330690 396755 402190 407851 476106 492411 603285 793510 815702 820685 984822 1190265 1206570 1223553 1641370 2039255 2380530 2447106 2462055 2935987 4078510 4924110 5871974 6073069 6117765 8807961 11982001 12146138 12235530 14679935 17615922 18219207 23964002 29359870 30365345 35946003 36438414 44039805 59910005 60730690 71892006 88079610 91096035 119820010 179730015 182192070 359460030 443334037 886668074 1330002111 2216670185 2660004222 4433340370 6650010555 13300021110