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11413221400 = 2352753153817
BaseRepresentation
bin10101010000100011…
…11111000000011000
31002110101222201102201
422220101333000120
5141333241041100
65124304535544
7552554531650
oct125021770030
932411881381
1011413221400
114927514189
1222663215b4
1310cb717b59
147a3b17360
1546beb536a
hex2a847f018

11413221400 has 96 divisors (see below), whose sum is σ = 30898959840. Its totient is φ = 3839247360.

The previous prime is 11413221389. The next prime is 11413221461. The reversal of 11413221400 is 412231411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709 + ... + 151108.

It is an arithmetic number, because the mean of its divisors is an integer number (321864165).

Almost surely, 211413221400 is an apocalyptic number.

11413221400 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 11413221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449479920).

11413221400 is an abundant number, since it is smaller than the sum of its proper divisors (19485738440).

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

11413221400 is a wasteful number, since it uses less digits than its factorization.

11413221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153893 (or 153884 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11413221400 its reverse (412231411), we get a palindrome (11825452811).

The spelling of 11413221400 in words is "eleven billion, four hundred thirteen million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 140 175 200 212 265 280 350 371 424 530 700 742 1060 1325 1400 1484 1855 2120 2650 2968 3710 5300 7420 9275 10600 14840 18550 37100 74200 153817 307634 615268 769085 1076719 1230536 1538170 2153438 3076340 3845425 4306876 5383595 6152680 7690850 8152301 8613752 10767190 15381700 16304602 21534380 26917975 30763400 32609204 40761505 43068760 53835950 57066107 65218408 81523010 107671900 114132214 163046020 203807525 215343800 228264428 285330535 326092040 407615050 456528856 570661070 815230100 1141322140 1426652675 1630460200 2282644280 2853305350 5706610700 11413221400