Search a number
-
+
102021012321132 = 223291671797797651
BaseRepresentation
bin10111001100100110011110…
…001100101111001101101100
3111101020010001202112220000210
4113030212132030233031230
5101333003013123234012
61000551450034422420
730326526535342632
oct2714463614571554
9441203052486023
10102021012321132
112a563960855913
12b538432731a10
1344c0703a17318
141b29bb41c1352
15bbdc0233023c
hex5cc99e32f36c

102021012321132 has 96 divisors (see below), whose sum is σ = 247748530014720. Its totient is φ = 32635586188800.

The previous prime is 102021012321121. The next prime is 102021012321211. The reversal of 102021012321132 is 231123210120201.

It is a super-2 number, since 2×1020210123211322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102021012321099 and 102021012321108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044702507 + ... + 1044800157.

It is an arithmetic number, because the mean of its divisors is an integer number (2580713854320).

Almost surely, 2102021012321132 is an apocalyptic number.

102021012321132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021012321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123874265007360).

102021012321132 is an abundant number, since it is smaller than the sum of its proper divisors (145727517693588).

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

102021012321132 is a wasteful number, since it uses less digits than its factorization.

102021012321132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115831 (or 115829 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102021012321132 its reverse (231123210120201), we get a palindrome (333144222441333).

The spelling of 102021012321132 in words is "one hundred two trillion, twenty-one billion, twelve million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 167 174 334 348 501 668 1002 2004 4843 9686 14529 17977 19372 29058 35954 53931 58116 71908 97651 107862 195302 215724 292953 390604 521333 585906 1042666 1171812 1563999 2085332 2831879 3002159 3127998 5663758 6004318 6255996 8495637 9006477 11327516 12008636 16307717 16991274 18012954 32615434 33982548 36025908 48923151 65230868 87062611 97846302 174125222 195692604 261187833 348250444 472923793 522375666 945847586 1044751332 1418771379 1755472027 1891695172 2837542758 3510944054 5266416081 5675085516 7021888108 10532832162 21065664324 50908688783 101817377566 152726066349 203634755132 293163828509 305452132698 586327657018 610904265396 879491485527 1172655314036 1758982971054 3517965942108 8501751026761 17003502053522 25505253080283 34007004107044 51010506160566 102021012321132