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113001221000 = 2353157719753
BaseRepresentation
bin110100100111101100…
…1011100101110001000
3101210200020201210121102
41221033121130232020
53322411303033000
6123525000200532
711110163346623
oct1511731345610
9353606653542
10113001221000
1143a18274948
1219a97a69148
13a86b21b115
14567da26dba
152e1582d3d5
hex1a4f65cb88

113001221000 has 64 divisors (see below), whose sum is σ = 266107448880. Its totient is φ = 44912524800.

The previous prime is 113001220991. The next prime is 113001221029. The reversal of 113001221000 is 122100311.

It can be written as a sum of positive squares in 8 ways, for example, as 4387472644 + 108613748356 = 66238^2 + 329566^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202877 + ... + 516876.

Almost surely, 2113001221000 is an apocalyptic number.

113001221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113001221000 is an abundant number, since it is smaller than the sum of its proper divisors (153106227880).

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

113001221000 is a wasteful number, since it uses less digits than its factorization.

113001221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719931 (or 719917 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 113001221000 its reverse (122100311), we get a palindrome (113123321311).

The spelling of 113001221000 in words is "one hundred thirteen billion, one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 157 200 250 314 500 628 785 1000 1256 1570 3140 3925 6280 7850 15700 19625 31400 39250 78500 157000 719753 1439506 2879012 3598765 5758024 7197530 14395060 17993825 28790120 35987650 71975300 89969125 113001221 143950600 179938250 226002442 359876500 452004884 565006105 719753000 904009768 1130012210 2260024420 2825030525 4520048840 5650061050 11300122100 14125152625 22600244200 28250305250 56500610500 113001221000