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102020312131110 = 2345791594316489
BaseRepresentation
bin10111001100100101110100…
…011101101110011000100110
3111101020001020222000112220000
4113030211310131232120212
5101333000044401143420
61000551252343122130
730326503304000412
oct2714456435563046
9441201228015800
10102020312131110
112a56363159677a
12b538278143346
1344c062193c5b9
141b29b491d7d42
15bbdbb0b21690
hex5cc97476e626

102020312131110 has 80 divisors (see below), whose sum is σ = 277793705217600. Its totient is φ = 26861044189824.

The previous prime is 102020312131081. The next prime is 102020312131123. The reversal of 102020312131110 is 11131213020201.

102020312131110 is a `hidden beast` number, since 1 + 0 + 20 + 20 + 312 + 1 + 311 + 1 + 0 = 666.

It is a super-2 number, since 2×1020203121311102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 797094255 + ... + 797222234.

It is an arithmetic number, because the mean of its divisors is an integer number (3472421315220).

Almost surely, 2102020312131110 is an apocalyptic number.

102020312131110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102020312131110 is an abundant number, since it is smaller than the sum of its proper divisors (175773393086490).

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

102020312131110 is a wasteful number, since it uses less digits than its factorization.

102020312131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594316587 (or 1594316578 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102020312131110 its reverse (11131213020201), we get a palindrome (113151525151311).

The spelling of 102020312131110 in words is "one hundred two trillion, twenty billion, three hundred twelve million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 270 395 405 474 711 790 810 1185 1422 2133 2370 3555 4266 6399 7110 10665 12798 21330 31995 63990 1594316489 3188632978 4782949467 7971582445 9565898934 14348848401 15943164890 23914747335 28697696802 43046545203 47829494670 71744242005 86093090406 125951002631 129139635609 143488484010 215232726015 251902005262 258279271218 377853007893 430465452030 629755013155 645698178045 755706015786 1133559023679 1259510026310 1291396356090 1889265039465 2267118047358 3400677071037 3778530078930 5667795118395 6801354142074 10202031213111 11335590236790 17003385355185 20404062426222 34006770710370 51010156065555 102020312131110