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11541210320 = 245434916833
BaseRepresentation
bin10101011111110100…
…01110010011010000
31002210022211020020002
422233322032103100
5142114022212240
65145120105132
7556000445333
oct125772162320
932708736202
1011541210320
114992792152
1222a11651a8
13111c0ab143
147b6b1261a
15478347d15
hex2afe8e4d0

11541210320 has 80 divisors (see below), whose sum is σ = 27517292352. Its totient is φ = 4499281920.

The previous prime is 11541210313. The next prime is 11541210367. The reversal of 11541210320 is 2301214511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11541210292 and 11541210301.

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, 1685624 + ... + 1692456.

Almost surely, 211541210320 is an apocalyptic number.

11541210320 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 11541210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13758646176).

11541210320 is an abundant number, since it is smaller than the sum of its proper divisors (15976082032).

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

11541210320 is a wasteful number, since it uses less digits than its factorization.

11541210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7380 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11541210320 its reverse (2301214511), we get a palindrome (13842424831).

The spelling of 11541210320 in words is "eleven billion, five hundred forty-one million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 491 688 860 982 1720 1964 2455 3440 3928 4910 6833 7856 9820 13666 19640 21113 27332 34165 39280 42226 54664 68330 84452 105565 109328 136660 168904 211130 273320 293819 337808 422260 546640 587638 844520 1175276 1469095 1689040 2350552 2938190 3355003 4701104 5876380 6710006 11752760 13420012 16775015 23505520 26840024 33550030 53680048 67100060 134200120 144265129 268400240 288530258 577060516 721325645 1154121032 1442651290 2308242064 2885302580 5770605160 11541210320