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11021200400 = 245278634561
BaseRepresentation
bin10100100001110101…
…00010110000010000
31001110002022222201102
422100322202300100
5140032411403100
65021342323532
7540054441410
oct122072426020
931402288642
1011021200400
1147461a8a91
122176b895a8
13106843b272
14767a2c640
1544787acd5
hex290ea2c10

11021200400 has 120 divisors (see below), whose sum is σ = 30302774784. Its totient is φ = 3773491200.

The previous prime is 11021200361. The next prime is 11021200417. The reversal of 11021200400 is 400212011.

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, 2414120 + ... + 2418680.

Almost surely, 211021200400 is an apocalyptic number.

11021200400 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 11021200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15151387392).

11021200400 is an abundant number, since it is smaller than the sum of its proper divisors (19281574384).

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

11021200400 is a wasteful number, since it uses less digits than its factorization.

11021200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11021200400 its reverse (400212011), we get a palindrome (11421412411).

The spelling of 11021200400 in words is "eleven billion, twenty-one million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 863 1400 1726 2800 3452 4315 4561 6041 6904 8630 9122 12082 13808 17260 18244 21575 22805 24164 30205 31927 34520 36488 43150 45610 48328 60410 63854 69040 72976 86300 91220 96656 114025 120820 127708 151025 159635 172600 182440 228050 241640 255416 302050 319270 345200 364880 456100 483280 510832 604100 638540 798175 912200 1208200 1277080 1596350 1824400 2416400 2554160 3192700 3936143 6385400 7872286 12770800 15744572 19680715 27553001 31489144 39361430 55106002 62978288 78722860 98403575 110212004 137765005 157445720 196807150 220424008 275530010 314891440 393614300 440848016 551060020 688825025 787228600 1102120040 1377650050 1574457200 2204240080 2755300100 5510600200 11021200400