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101333204401 = 111359711391217
BaseRepresentation
bin101111001011111101…
…1011111110110110001
3100200120002022010212111
41132113323133312301
53130012300020101
6114315110125321
710215063011542
oct1362773376661
9320502263774
10101333204401
1139a7aa52320
1217780350841
13972baa20a0
144c941464c9
1529812d8251
hex1797edfdb1

101333204401 has 64 divisors (see below), whose sum is σ = 123756595200. Its totient is φ = 81756057600.

The previous prime is 101333204377. The next prime is 101333204419. The reversal of 101333204401 is 104402333101.

It is a cyclic number.

It is not a de Polignac number, because 101333204401 - 223 = 101324815793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101333204471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83264145 + ... + 83265361.

It is an arithmetic number, because the mean of its divisors is an integer number (1933696800).

Almost surely, 2101333204401 is an apocalyptic number.

101333204401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101333204401 is a deficient number, since it is larger than the sum of its proper divisors (22423390799).

101333204401 is a wasteful number, since it uses less digits than its factorization.

101333204401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 101333204401 its reverse (104402333101), we get a palindrome (205735537502).

The spelling of 101333204401 in words is "one hundred one billion, three hundred thirty-three million, two hundred four thousand, four hundred one".

Divisors: 1 11 13 59 71 139 143 649 767 781 923 1217 1529 1807 4189 8201 8437 9869 10153 13387 15821 19877 46079 54457 71803 86407 90211 106613 108559 128297 169163 174031 582271 599027 789833 933439 950477 1123291 1172743 1411267 1860793 2199119 5098013 6404981 7569523 9980617 10267829 12010573 12356201 24190309 56078143 66274169 83264753 109786787 129748021 132116303 156137449 708623807 729015859 1427228231 1717511939 7794861877 9212109491 101333204401