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1011132310032 = 2433131031748009
BaseRepresentation
bin11101011011011000010…
…11101010001000010000
310120122220112211100222000
432231230023222020100
5113031244332410112
62052301402314000
7133023541553265
oct16555413521020
93518815740860
101011132310032
1135a900913219
12143b6a1b8900
137447073a240
1436d20b1926c
151b47dc3d7dc
hexeb6c2ea210

1011132310032 has 160 divisors (see below), whose sum is σ = 3155927174400. Its totient is φ = 308096898048.

The previous prime is 1011132310031. The next prime is 1011132310051. The reversal of 1011132310032 is 2300132311101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1011132309987 and 1011132310014.

It is not an unprimeable number, because it can be changed into a prime (1011132310031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295557 + ... + 1452452.

It is an arithmetic number, because the mean of its divisors is an integer number (19724544840).

Almost surely, 21011132310032 is an apocalyptic number.

1011132310032 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 1011132310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577963587200).

1011132310032 is an abundant number, since it is smaller than the sum of its proper divisors (2144794864368).

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

1011132310032 is a wasteful number, since it uses less digits than its factorization.

1011132310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748142 (or 1748130 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011132310032 its reverse (2300132311101), we get a palindrome (3311264621133).

The spelling of 1011132310032 in words is "one trillion, eleven billion, one hundred thirty-two million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 103 104 108 117 144 156 206 208 216 234 309 312 351 412 432 468 618 624 702 824 927 936 1236 1339 1404 1648 1854 1872 2472 2678 2781 2808 3708 4017 4944 5356 5562 5616 7416 8034 10712 11124 12051 14832 16068 21424 22248 24102 32136 36153 44496 48204 64272 72306 96408 144612 192816 289224 578448 1748009 3496018 5244027 6992036 10488054 13984072 15732081 20976108 22724117 27968144 31464162 41952216 45448234 47196243 62928324 68172351 83904432 90896468 94392486 125856648 136344702 180044927 181792936 188784972 204517053 251713296 272689404 360089854 363585872 377569944 409034106 540134781 545378808 613551159 720179708 755139888 818068212 1080269562 1090757616 1227102318 1440359416 1620404343 1636136424 2160539124 2340584051 2454204636 2880718832 3240808686 3272272848 4321078248 4681168102 4861213029 4908409272 6481617372 7021752153 8642156496 9362336204 9722426058 9816818544 12963234744 14043504306 18724672408 19444852116 21065256459 25926469488 28087008612 37449344816 38889704232 42130512918 56174017224 63195769377 77779408464 84261025836 112348034448 126391538754 168522051672 252783077508 337044103344 505566155016 1011132310032