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1117404220632 = 233723371281867
BaseRepresentation
bin10000010000101010011…
…110110100110011011000
310221211012211011210002220
4100100222132310303120
5121301420440030012
62213154534224040
7143505214106400
oct20205236646330
93854184153086
101117404220632
113a0985608607
121606884b5020
13814a875a08b
143c122b29800
151e0ed8c208c
hex1042a7b4cd8

1117404220632 has 96 divisors (see below), whose sum is σ = 3250569424320. Its totient is φ = 319162509120.

The previous prime is 1117404220631. The next prime is 1117404220643. The reversal of 1117404220632 is 2360224047111.

It is a junction number, because it is equal to n+sod(n) for n = 1117404220593 and 1117404220602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117404220631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3823363 + ... + 4105229.

It is an arithmetic number, because the mean of its divisors is an integer number (33860098170).

Almost surely, 21117404220632 is an apocalyptic number.

1117404220632 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 1117404220632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625284712160).

1117404220632 is an abundant number, since it is smaller than the sum of its proper divisors (2133165203688).

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

1117404220632 is a wasteful number, since it uses less digits than its factorization.

1117404220632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285261 (or 285250 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 1117404220632 its reverse (2360224047111), we get a palindrome (3477628267743).

The spelling of 1117404220632 in words is "one trillion, one hundred seventeen billion, four hundred four million, two hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 3371 6742 10113 13484 20226 23597 26968 40452 47194 70791 80904 94388 141582 165179 188776 281867 283164 330358 495537 563734 566328 660716 845601 991074 1127468 1321432 1691202 1973069 1982148 2254936 3382404 3946138 3964296 5919207 6764808 7892276 11838414 13811483 15784552 23676828 27622966 41434449 47353656 55245932 82868898 110491864 165737796 331475592 950173657 1900347314 2850520971 3800694628 5701041942 6651215599 7601389256 11402083884 13302431198 19953646797 22804167768 26604862396 39907293594 46558509193 53209724792 79814587188 93117018386 139675527579 159629174376 186234036772 279351055158 372468073544 558702110316 1117404220632