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11012212303032 = 23317479427313187
BaseRepresentation
bin1010000000111111101100…
…0000001010010010111000
31102222202110000020221200010
42200033323000022102320
52420411002322144112
635230535051341520
72214414613065333
oct240177300122270
942882400227603
1011012212303032
113566286836a36
12129a2a77518a0
1361b5a755ca75
142a0dcb45961a
151416bd8b463c
hexa03fb00a4b8

11012212303032 has 128 divisors (see below), whose sum is σ = 29219881420800. Its totient is φ = 3446530940928.

The previous prime is 11012212303031. The next prime is 11012212303093. The reversal of 11012212303032 is 23030321221011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012212303031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835074343 + ... + 835087529.

It is an arithmetic number, because the mean of its divisors is an integer number (228280323600).

Almost surely, 211012212303032 is an apocalyptic number.

11012212303032 is a gapful number since it is divisible by the number (12) 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 11012212303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609940710400).

11012212303032 is an abundant number, since it is smaller than the sum of its proper divisors (18207669117768).

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

11012212303032 is a wasteful number, since it uses less digits than its factorization.

11012212303032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17965 (or 17961 counting only the distinct ones).

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

Adding to 11012212303032 its reverse (23030321221011), we get a palindrome (34042533524043).

The spelling of 11012212303032 in words is "eleven trillion, twelve billion, two hundred twelve million, three hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 479 958 1437 1916 2874 3832 4273 5748 8143 8546 11496 12819 13187 16286 17092 24429 25638 26374 32572 34184 39561 48858 51276 52748 65144 72641 79122 97716 102552 105496 145282 158244 195432 217923 224179 290564 316488 435846 448358 581128 672537 871692 896716 1345074 1743384 1793432 2046767 2690148 4093534 5380296 6140301 6316573 8187068 12280602 12633146 16374136 18949719 24561204 25266292 34795039 37899438 49122408 50532584 56348051 69590078 75798876 104385117 107381741 112696102 139180156 151597752 169044153 208770234 214763482 225392204 278360312 322145223 338088306 417540468 429526964 450784408 644290446 676176612 835080936 859053928 957916867 1288580892 1352353224 1915833734 2577161784 2873750601 3831667468 5747501202 7663334936 11495002404 22990004808 26990716429 53981432858 80972149287 107962865716 161944298574 215925731432 323888597148 458842179293 647777194296 917684358586 1376526537879 1835368717172 2753053075758 3670737434344 5506106151516 11012212303032