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11023220320 = 2557213110733
BaseRepresentation
bin10100100010000100…
…01111111001100000
31001110020010121112021
422101002033321200
5140033421022240
65021453511224
7540110553400
oct122102177140
931406117467
1011023220320
114747358642
1221777a2514
131068997798
14767dd6800
15447b2954a
hex29108fe60

11023220320 has 144 divisors (see below), whose sum is σ = 30528268848. Its totient is φ = 3750190080.

The previous prime is 11023220311. The next prime is 11023220321. The reversal of 11023220320 is 2302232011.

It is a super-2 number, since 2×110232203202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11023220294 and 11023220303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023220321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021674 + ... + 1032406.

It is an arithmetic number, because the mean of its divisors is an integer number (212001867).

Almost surely, 211023220320 is an apocalyptic number.

11023220320 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 11023220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264134424).

11023220320 is an abundant number, since it is smaller than the sum of its proper divisors (19505048528).

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

11023220320 is a wasteful number, since it uses less digits than its factorization.

11023220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10893 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11023220320 its reverse (2302232011), we get a palindrome (13325452331).

The spelling of 11023220320 in words is "eleven billion, twenty-three million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 131 140 160 196 224 245 262 280 392 490 524 560 655 784 917 980 1048 1120 1310 1568 1834 1960 2096 2620 3668 3920 4192 4585 5240 6419 7336 7840 9170 10480 10733 12838 14672 18340 20960 21466 25676 29344 32095 36680 42932 51352 53665 64190 73360 75131 85864 102704 107330 128380 146720 150262 171728 205408 214660 256760 300524 343456 375655 429320 513520 525917 601048 751310 858640 1027040 1051834 1202096 1406023 1502620 1717280 2103668 2404192 2629585 2812046 3005240 4207336 5259170 5624092 6010480 7030115 8414672 9842161 10518340 11248184 12020960 14060230 16829344 19684322 21036680 22496368 28120460 39368644 42073360 44992736 49210805 56240920 68895127 78737288 84146720 98421610 112481840 137790254 157474576 196843220 224963680 275580508 314949152 344475635 393686440 551161016 688951270 787372880 1102322032 1377902540 1574745760 2204644064 2755805080 5511610160 11023220320