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1100432422432 = 25719954745131
BaseRepresentation
bin10000000000110110111…
…000100011011000100000
310220012102000202002210101
4100000312320203120200
5121012141200004212
62201310501512144
7142334512154230
oct20006670433040
93805360662711
101100432422432
11394766461402
12159330712654
137ca0255c335
143b392aabcc0
151d95891b157
hex10036e23620

1100432422432 has 96 divisors (see below), whose sum is σ = 2493019468800. Its totient is φ = 468375747840.

The previous prime is 1100432422417. The next prime is 1100432422471. The reversal of 1100432422432 is 2342242340011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1100432422432.

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, 24360507 + ... + 24405637.

It is an arithmetic number, because the mean of its divisors is an integer number (25968952800).

Almost surely, 21100432422432 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 1100432422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246509734400).

1100432422432 is an abundant number, since it is smaller than the sum of its proper divisors (1392587046368).

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

1100432422432 is a wasteful number, since it uses less digits than its factorization.

1100432422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45894 (or 45886 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1100432422432 its reverse (2342242340011), we get a palindrome (3442674762443).

The spelling of 1100432422432 in words is "one trillion, one hundred billion, four hundred thirty-two million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 547 796 1094 1393 1592 2188 2786 3184 3829 4376 5572 6368 7658 8752 11144 15316 17504 22288 30632 44576 45131 61264 90262 108853 122528 180524 217706 315917 361048 435412 631834 722096 761971 870824 1263668 1444192 1523942 1741648 2527336 3047884 3483296 5054672 6095768 8981069 10109344 12191536 17962138 24383072 24686657 35924276 49373314 62867483 71848552 98746628 125734966 143697104 172806599 197493256 251469932 287394208 345613198 394986512 502939864 691226396 789973024 1005879728 1382452792 2011759456 2764905584 4912644743 5529811168 9825289486 19650578972 34388513201 39301157944 68777026402 78602315888 137554052804 157204631776 275108105608 550216211216 1100432422432