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1131034141100 = 225237358185363
BaseRepresentation
bin10000011101010110111…
…000110110000110101100
311000010101201021111000002
4100131112320312012230
5122012324220003400
62223331230523432
7144500036401013
oct20352670660654
94003351244002
101131034141100
113a673a317596
12163251066578
138286b4a2386
143ca56dc9a7a
151e64a2a1ed5
hex10756e361ac

1131034141100 has 72 divisors (see below), whose sum is σ = 2521411150608. Its totient is φ = 440058182400.

The previous prime is 1131034141087. The next prime is 1131034141121. The reversal of 1131034141100 is 11414301311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13207019 + ... + 13292381.

It is an arithmetic number, because the mean of its divisors is an integer number (35019599314).

Almost surely, 21131034141100 is an apocalyptic number.

1131034141100 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 1131034141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260705575304).

1131034141100 is an abundant number, since it is smaller than the sum of its proper divisors (1390377009508).

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

1131034141100 is a wasteful number, since it uses less digits than its factorization.

1131034141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88995 (or 88988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1131034141100 its reverse (11414301311), we get a palindrome (1142448442411).

The spelling of 1131034141100 in words is "one trillion, one hundred thirty-one billion, thirty-four million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3581 3700 7162 14324 17905 35810 71620 85363 89525 132497 170726 179050 264994 341452 358100 426815 529988 662485 853630 1324970 1707260 2134075 2649940 3158431 3312425 4268150 6316862 6624850 8536300 12633724 13249700 15792155 31584310 63168620 78960775 157921550 305684903 315843100 611369806 1222739612 1528424515 3056849030 6113698060 7642122575 11310341411 15284245150 22620682822 30568490300 45241365644 56551707055 113103414110 226206828220 282758535275 565517070550 1131034141100