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1001132002320 = 243531134560753
BaseRepresentation
bin11101001000110000001…
…11100000110000010000
310112201002121111002201220
432210120013200300100
5112400304243033240
62043525205125040
7132220661420232
oct16443007406020
93481077432656
101001132002320
11356639a08aaa
121420390b9780
13735389729b8
1436652916252
151b095d1e5d0
hexe9181e0c10

1001132002320 has 80 divisors (see below), whose sum is σ = 3203622431232. Its totient is φ = 258356643840.

The previous prime is 1001132002301. The next prime is 1001132002369. The reversal of 1001132002320 is 232002311001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001132002320.

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, 67272937 + ... + 67287816.

Almost surely, 21001132002320 is an apocalyptic number.

1001132002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001132002320 is an abundant number, since it is smaller than the sum of its proper divisors (2202490428912).

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

1001132002320 is a wasteful number, since it uses less digits than its factorization.

1001132002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134560800 (or 134560794 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1001132002320 its reverse (232002311001), we get a palindrome (1233134313321).

The spelling of 1001132002320 in words is "one trillion, one billion, one hundred thirty-two million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 134560753 269121506 403682259 538243012 672803765 807364518 1076486024 1345607530 1614729036 2018411295 2152972048 2691215060 3229458072 4036822590 4171383343 5382430120 6458916144 8073645180 8342766686 10764860240 12514150029 16147290360 16685533372 20856916715 25028300058 32294580720 33371066744 41713833430 50056600116 62570750145 66742133488 83427666860 100113200232 125141500290 166855333720 200226400464 250283000580 333710667440 500566001160 1001132002320