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31042211001 = 31929139167809
BaseRepresentation
bin11100111010010000…
…101000110010111001
32222010101101201002120
4130322100220302321
51002033301223001
622132142151453
72146153303614
oct347220506271
988111351076
1031042211001
111218a57863a
126023b82589
132c092912b9
141706a2317b
15c1a397236
hex73a428cb9

31042211001 has 64 divisors (see below), whose sum is σ = 45722880000. Its totient is φ = 18657741312.

The previous prime is 31042210993. The next prime is 31042211029. The reversal of 31042211001 is 10011224013.

It is not a de Polignac number, because 31042211001 - 23 = 31042210993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31042211051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38370685 + ... + 38371493.

It is an arithmetic number, because the mean of its divisors is an integer number (714420000).

Almost surely, 231042211001 is an apocalyptic number.

It is an amenable number.

31042211001 is a deficient number, since it is larger than the sum of its proper divisors (14680668999).

31042211001 is a wasteful number, since it uses less digits than its factorization.

31042211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31042211001 its reverse (10011224013), we get a palindrome (41053435014).

The spelling of 31042211001 in words is "thirty-one billion, forty-two million, two hundred eleven thousand, one".

Divisors: 1 3 19 29 57 87 139 167 417 501 551 809 1653 2427 2641 3173 4031 4843 7923 9519 12093 14529 15371 23213 23461 46113 69639 70383 76589 92017 112451 135103 229767 276051 337353 405309 441047 445759 673177 1323141 1337277 2019531 2136569 2566957 3261079 3917987 6409707 7700871 9783237 11753961 12790363 18779317 38371089 56337951 61960501 74441753 185881503 223325259 356807023 544600193 1070421069 1633800579 10347403667 31042211001