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1001114023032 = 2332292729175691
BaseRepresentation
bin11101001000101110000…
…10111011010001111000
310112201001100122122210100
432210113002323101320
5112400240142214112
62043523323515400
7132220352535414
oct16442702732170
93481040578710
101001114023032
1135662a848992
12142033088b60
1373535019276
1436650395d44
151b09446c2dc
hexe9170bb478

1001114023032 has 96 divisors (see below), whose sum is σ = 2805889086000. Its totient is φ = 322077719040.

The previous prime is 1001114023001. The next prime is 1001114023067. The reversal of 1001114023032 is 2303204111001.

1001114023032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10011140230322 (a number of 25 digits) contains 22 as substring.

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 = 1001114022996 and 1001114023014.

It is a congruent number.

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, 5610307 + ... + 5785997.

Almost surely, 21001114023032 is an apocalyptic number.

1001114023032 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 1001114023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402944543000).

1001114023032 is an abundant number, since it is smaller than the sum of its proper divisors (1804775062968).

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

1001114023032 is a wasteful number, since it uses less digits than its factorization.

1001114023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178461 (or 178454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1001114023032 its reverse (2303204111001), we get a palindrome (3304318134033).

The spelling of 1001114023032 in words is "one trillion, one billion, one hundred fourteen million, twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 2729 5458 8187 10916 16374 21832 24561 32748 49122 65496 79141 98244 158282 175691 196488 237423 316564 351382 474846 527073 633128 702764 712269 949692 1054146 1405528 1424538 1581219 1899384 2108292 2849076 3162438 4216584 5095039 5698152 6324876 10190078 12649752 15285117 20380156 30570234 40760312 45855351 61140468 91710702 122280936 183421404 366842808 479460739 958921478 1438382217 1917842956 2876764434 3835685912 4315146651 5753528868 8630293302 11507057736 13904361431 17260586604 27808722862 34521173208 41713084293 55617445724 83426168586 111234891448 125139252879 166852337172 250278505758 333704674344 500557011516 1001114023032