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11210013120 = 263564118217
BaseRepresentation
bin10100111000010101…
…10011100111000000
31001221020121200002010
422130022303213000
5140424230404440
65052205252520
7544536352665
oct123412634700
931836550063
1011210013120
11483283a859
12220a264140
1310985a9477
14784b3ba6c
15459225580
hex29c2b39c0

11210013120 has 112 divisors (see below), whose sum is σ = 35649273888. Its totient is φ = 2984509440.

The previous prime is 11210013107. The next prime is 11210013151. The reversal of 11210013120 is 2131001211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11210013096 and 11210013105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606252 + ... + 624468.

Almost surely, 211210013120 is an apocalyptic number.

11210013120 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 11210013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824636944).

11210013120 is an abundant number, since it is smaller than the sum of its proper divisors (24439260768).

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

11210013120 is a wasteful number, since it uses less digits than its factorization.

11210013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18878 (or 18868 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11210013120 its reverse (2131001211), we get a palindrome (13341014331).

The spelling of 11210013120 in words is "eleven billion, two hundred ten million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 641 960 1282 1923 2564 3205 3846 5128 6410 7692 9615 10256 12820 15384 18217 19230 20512 25640 30768 36434 38460 41024 51280 54651 61536 72868 76920 91085 102560 109302 123072 145736 153840 182170 205120 218604 273255 291472 307680 364340 437208 546510 582944 615360 728680 874416 1093020 1165888 1457360 1748832 2186040 2914720 3497664 4372080 5829440 8744160 11677097 17488320 23354194 35031291 46708388 58385485 70062582 93416776 116770970 140125164 175156455 186833552 233541940 280250328 350312910 373667104 467083880 560500656 700625820 747334208 934167760 1121001312 1401251640 1868335520 2242002624 2802503280 3736671040 5605006560 11210013120