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11342455300 = 22521127312841
BaseRepresentation
bin10101001000001000…
…00010001000000100
31002021110211102121001
422210010002020010
5141212132032200
65113300103044
7551035164541
oct124404021004
932243742531
1011342455300
1148a057a600
122246694a84
1310b9b6b717
14798575bc8
15465b8776a
hex2a4102204

11342455300 has 108 divisors (see below), whose sum is σ = 27426839188. Its totient is φ = 4067712000.

The previous prime is 11342455231. The next prime is 11342455303. The reversal of 11342455300 is 355424311.

It can be written as a sum of positive squares in 6 ways, for example, as 172501956 + 11169953344 = 13134^2 + 105688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11342455303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 876880 + ... + 889720.

Almost surely, 211342455300 is an apocalyptic number.

11342455300 is a gapful number since it is divisible by the number (10) 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 11342455300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713419594).

11342455300 is an abundant number, since it is smaller than the sum of its proper divisors (16084383888).

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

11342455300 is a wasteful number, since it uses less digits than its factorization.

11342455300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 11342455300 its reverse (355424311), we get a palindrome (11697879611).

The spelling of 11342455300 in words is "eleven billion, three hundred forty-two million, four hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 121 146 220 242 275 292 365 484 550 605 730 803 1100 1210 1460 1606 1825 2420 3025 3212 3650 4015 6050 7300 8030 8833 12100 12841 16060 17666 20075 25682 35332 40150 44165 51364 64205 80300 88330 128410 141251 176660 220825 256820 282502 321025 441650 565004 642050 706255 883300 937393 1284100 1412510 1553761 1874786 2825020 3107522 3531275 3749572 4686965 6215044 7062550 7768805 9373930 10311323 14125100 15537610 18747860 20622646 23434825 31075220 38844025 41245292 46869650 51556615 77688050 93739300 103113230 113424553 155376100 206226460 226849106 257783075 453698212 515566150 567122765 1031132300 1134245530 2268491060 2835613825 5671227650 11342455300