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1010106633032 = 23729971963997
BaseRepresentation
bin11101011001011110000…
…11000000101101001000
310120120021001211120121222
432230233003000231020
5113022144244224112
62052011522421212
7132656245500320
oct16545703005510
93516231746558
101010106633032
1135a424951982
12143922801808
13743390ac983
1436c64806280
151b41db89372
hexeb2f0c0b48

1010106633032 has 64 divisors (see below), whose sum is σ = 2239418016000. Its totient is φ = 417925622016.

The previous prime is 1010106633017. The next prime is 1010106633083. The reversal of 1010106633032 is 2303366010101.

It is a junction number, because it is equal to n+sod(n) for n = 1010106632992 and 1010106633010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15751658 + ... + 15815654.

It is an arithmetic number, because the mean of its divisors is an integer number (34990906500).

Almost surely, 21010106633032 is an apocalyptic number.

It is an amenable number.

1010106633032 is an abundant number, since it is smaller than the sum of its proper divisors (1229311382968).

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

1010106633032 is a wasteful number, since it uses less digits than its factorization.

1010106633032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73758 (or 73754 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 1010106633032 in words is "one trillion, ten billion, one hundred six million, six hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 9719 19438 38876 63997 68033 77752 127994 136066 255988 272132 281851 447979 511976 544264 563702 895958 1127404 1791916 1855913 1972957 2254808 3583832 3711826 3945914 7423652 7891828 12991391 14847304 15783656 25982782 51965564 103931128 621986843 1243973686 2487947372 4353907901 4975894744 8707815802 17415631604 18037618447 34831263208 36075236894 72150473788 126263329129 144300947576 252526658258 505053316516 1010106633032