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11032022316 = 22377112491481
BaseRepresentation
bin10100100011000111…
…10100110100101100
31001110211200210121010
422101203310310230
5140043144203231
65022410305220
7540245433240
oct122143646454
931424623533
1011032022316
11475131a717
12217a728210
13106a759c73
14769248420
154487b7546
hex2918f4d2c

11032022316 has 96 divisors (see below), whose sum is σ = 29877120000. Its totient is φ = 3103027200.

The previous prime is 11032022291. The next prime is 11032022329. The reversal of 11032022316 is 61322023011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11032022292 and 11032022301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7448296 + ... + 7449776.

It is an arithmetic number, because the mean of its divisors is an integer number (311220000).

Almost surely, 211032022316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032022316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560000).

11032022316 is an abundant number, since it is smaller than the sum of its proper divisors (18845097684).

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

11032022316 is a wasteful number, since it uses less digits than its factorization.

11032022316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11032022316 its reverse (61322023011), we get a palindrome (72354045327).

The spelling of 11032022316 in words is "eleven billion, thirty-two million, twenty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1249 1481 1491 1988 2498 2962 2982 3747 4443 4996 5924 5964 7494 8743 8886 10367 14988 17486 17772 20734 26229 31101 34972 41468 52458 62202 88679 104916 105151 124404 177358 210302 266037 315453 354716 420604 532074 620753 630906 736057 1064148 1241506 1261812 1472114 1849769 1862259 2208171 2483012 2944228 3699538 3724518 4416342 5549307 7399076 7449036 8832684 11098614 12948383 22197228 25896766 38845149 51793532 77690298 131333599 155380596 262667198 394000797 525334396 788001594 919335193 1576003188 1838670386 2758005579 3677340772 5516011158 11032022316