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2301332131011 = 33754199138671
BaseRepresentation
bin100001011111010010000…
…101011000110011000011
322011000010210102010220210
4201133102011120303003
5300201112011143021
64521114542205203
7325160104233324
oct41372205306303
98130123363823
102301332131011
11807a97aa0901
1231201b583803
1313902636ab84
147d5568b844b
153ece25c6e76
hex217d2158cc3

2301332131011 has 32 divisors (see below), whose sum is σ = 3160466415616. Its totient is φ = 1488454704000.

The previous prime is 2301332131009. The next prime is 2301332131013. The reversal of 2301332131011 is 1101312331032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2301332131009) and next prime (2301332131013).

It is not a de Polignac number, because 2301332131011 - 21 = 2301332131009 is a prime.

It is a super-2 number, since 2×23013321310112 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2301332131013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 59491206 + ... + 59529876.

It is an arithmetic number, because the mean of its divisors is an integer number (98764575488).

Almost surely, 22301332131011 is an apocalyptic number.

2301332131011 is a deficient number, since it is larger than the sum of its proper divisors (859134284605).

2301332131011 is a wasteful number, since it uses less digits than its factorization.

2301332131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40243.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2301332131011 its reverse (1101312331032), we get a palindrome (3402644462043).

The spelling of 2301332131011 in words is "two trillion, three hundred one billion, three hundred thirty-two million, one hundred thirty-one thousand, eleven".

Divisors: 1 3 37 111 541 991 1623 2973 20017 36667 38671 60051 110001 116013 536131 1430827 1608393 4292481 19836847 20921011 38322961 59510541 62763033 114968883 774077407 1417949557 2322232221 4253848671 20732721901 62198165703 767110710337 2301332131011