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112000011210 = 232537137245501
BaseRepresentation
bin110100001001110111…
…0001000101111001010
3101201002110210001222100
41220103232020233022
53313334000324320
6123241352534230
711043315246633
oct1502356105712
9351073701870
10112000011210
11435540a513a
12198586b1376
13a73b9793a9
1455c6a8288a
152da79ad790
hex1a13b88bca

112000011210 has 96 divisors (see below), whose sum is σ = 301254522192. Its totient is φ = 28847232000.

The previous prime is 112000011191. The next prime is 112000011271. The reversal of 112000011210 is 12110000211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42451245369 + 69548765841 = 206037^2 + 263721^2 .

It is a super-2 number, since 2×1120000112102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112000011192 and 112000011201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333460 + ... + 578960.

Almost surely, 2112000011210 is an apocalyptic number.

112000011210 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 112000011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150627261096).

112000011210 is an abundant number, since it is smaller than the sum of its proper divisors (189254510982).

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

112000011210 is a wasteful number, since it uses less digits than its factorization.

112000011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245688 (or 245685 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112000011210 its reverse (12110000211), we get a palindrome (124110011421).

The spelling of 112000011210 in words is "one hundred twelve billion, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 137 185 222 274 333 370 411 555 666 685 822 1110 1233 1370 1665 2055 2466 3330 4110 5069 6165 10138 12330 15207 25345 30414 45621 50690 76035 91242 152070 228105 245501 456210 491002 736503 1227505 1473006 2209509 2455010 3682515 4419018 7365030 9083537 11047545 18167074 22095090 27250611 33633637 45417685 54501222 67267274 81751833 90835370 100900911 136253055 163503666 168168185 201801822 272506110 302702733 336336370 408759165 504504555 605405466 817518330 1009009110 1244444569 1513513665 2488889138 3027027330 3733333707 6222222845 7466667414 11200001121 12444445690 18666668535 22400002242 37333337070 56000005605 112000011210