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11402111112 = 2337892772753
BaseRepresentation
bin10101001111001111…
…00110100010001000
31002102122002020222120
422213213212202020
5141322420023422
65123230451240
7552361226310
oct124747464210
932378066876
1011402111112
114921215927
122262663b20
1310c9327b12
147a2464440
1546b01d45c
hex2a79e6888

11402111112 has 128 divisors (see below), whose sum is σ = 33074438400. Its totient is φ = 3208347648.

The previous prime is 11402111101. The next prime is 11402111117. The reversal of 11402111112 is 21111120411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11402111091 and 11402111100.

It is not an unprimeable number, because it can be changed into a prime (11402111117) 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, 4140328 + ... + 4143080.

It is an arithmetic number, because the mean of its divisors is an integer number (258394050).

Almost surely, 211402111112 is an apocalyptic number.

11402111112 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 11402111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16537219200).

11402111112 is an abundant number, since it is smaller than the sum of its proper divisors (21672327288).

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

11402111112 is a wasteful number, since it uses less digits than its factorization.

11402111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11402111112 its reverse (21111120411), we get a palindrome (32513231523).

The spelling of 11402111112 in words is "eleven billion, four hundred two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 277 356 534 554 623 712 831 1068 1108 1246 1662 1869 1939 2136 2216 2492 2753 3324 3738 3878 4984 5506 5817 6648 7476 7756 8259 11012 11634 14952 15512 16518 19271 22024 23268 24653 33036 38542 46536 49306 57813 66072 73959 77084 98612 115626 147918 154168 172571 197224 231252 245017 295836 345142 462504 490034 517713 591672 690284 735051 762581 980068 1035426 1380568 1470102 1525162 1715119 1960136 2070852 2287743 2940204 3050324 3430238 4141704 4575486 5145357 5338067 5880408 6100648 6860476 9150972 10290714 10676134 13720952 16014201 18301944 20581428 21352268 32028402 41162856 42704536 64056804 67869709 128113608 135739418 203609127 271478836 407218254 475087963 542957672 814436508 950175926 1425263889 1628873016 1900351852 2850527778 3800703704 5701055556 11402111112