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1011113101032 = 233713734313691
BaseRepresentation
bin11101011011010110000…
…10011000011011101000
310120122212012200110011120
432231223002120123220
5113031224423213112
62052255434455240
7133023216360336
oct16555302303350
93518765613146
101011113101032
1135a8a0a93211
12143b63894520
1374469772b78
1436d1c358b56
151b47c1e6e8c
hexeb6b0986e8

1011113101032 has 128 divisors (see below), whose sum is σ = 2576919121920. Its totient is φ = 330541344000.

The previous prime is 1011113100919. The next prime is 1011113101067. The reversal of 1011113101032 is 2301013111101.

1011113101032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273938307 + ... + 273941997.

It is an arithmetic number, because the mean of its divisors is an integer number (20132180640).

Almost surely, 21011113101032 is an apocalyptic number.

1011113101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011113101032 is an abundant number, since it is smaller than the sum of its proper divisors (1565806020888).

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

1011113101032 is a wasteful number, since it uses less digits than its factorization.

1011113101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1011113101032 its reverse (2301013111101), we get a palindrome (3312126212133).

The spelling of 1011113101032 in words is "one trillion, eleven billion, one hundred thirteen million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 373 426 431 568 746 852 862 1119 1293 1492 1704 1724 2238 2586 2984 3448 3691 4476 5172 7382 8952 10344 11073 14764 22146 26483 29528 30601 44292 52966 61202 79449 88584 91803 105932 122404 158898 160763 183606 211864 244808 262061 317796 321526 367212 482289 524122 635592 643052 734424 786183 964578 1048244 1286104 1376743 1572366 1590821 1929156 2096488 2753486 3144732 3181642 3858312 4130229 4772463 5506972 6289464 6363284 8260458 9544926 11013944 11414173 12726568 16520916 19089852 22828346 33041832 34242519 38179704 45656692 68485038 91313384 97748753 112948291 136970076 195497506 225896582 273940152 293246259 338844873 390995012 451793164 586492518 593376233 677689746 781990024 903586328 1172985036 1186752466 1355379492 1780128699 2345970072 2373504932 2710758984 3560257398 4747009864 7120514796 14241029592 42129712543 84259425086 126389137629 168518850172 252778275258 337037700344 505556550516 1011113101032