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1115005244532 = 2231729243151141
BaseRepresentation
bin10000001110011011011…
…111011101010001110100
310221121000122002011120020
4100032123133131101310
5121232012320311112
62212120520005140
7143361604126104
oct20163337352164
93847018064506
101115005244532
1139a964435333
121601190007b0
13811b573c4aa
143bd76295204
151e00ce9e48c
hex1039b7dd474

1115005244532 has 144 divisors (see below), whose sum is σ = 2919352468032. Its totient is φ = 329886627840.

The previous prime is 1115005244519. The next prime is 1115005244543. The reversal of 1115005244532 is 2354425005111.

It is a junction number, because it is equal to n+sod(n) for n = 1115005244493 and 1115005244502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7301682 + ... + 7452822.

It is an arithmetic number, because the mean of its divisors is an integer number (20273281028).

Almost surely, 21115005244532 is an apocalyptic number.

1115005244532 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 1115005244532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459676234016).

1115005244532 is an abundant number, since it is smaller than the sum of its proper divisors (1804347223500).

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

1115005244532 is a wasteful number, since it uses less digits than its factorization.

1115005244532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151266 (or 151235 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 1115005244532 in words is "one trillion, one hundred fifteen billion, five million, two hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 29 34 43 51 58 68 86 87 102 116 129 172 174 204 258 348 493 516 731 841 986 1247 1462 1479 1682 1972 2193 2494 2523 2924 2958 3364 3741 4386 4988 5046 5916 7482 8772 10092 14297 14964 21199 28594 36163 42398 42891 57188 63597 72326 84796 85782 108489 127194 144652 151141 171564 216978 254388 302282 433956 453423 604564 614771 906846 1229542 1813692 1844313 2459084 2569397 3688626 4383089 5138794 6499063 7377252 7708191 8766178 10277588 12998126 13149267 15416382 17532356 19497189 25996252 26298534 30832764 38994378 52597068 74512513 77988756 110484071 127109581 149025026 188472827 220968142 223537539 254219162 298050052 331452213 376945654 381328743 441936284 447075078 508438324 565418481 662904426 753891308 762657486 894150156 1130836962 1325808852 1525314972 2160862877 2261673924 3204038059 4321725754 5465711983 6408076118 6482588631 8643451508 9612114177 10931423966 12816152236 12965177262 16397135949 19224228354 21862847932 25930354524 32794271898 38448456708 65588543796 92917103711 185834207422 278751311133 371668414844 557502622266 1115005244532