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4032130331000 = 2353167193125101
BaseRepresentation
bin111010101011001101101…
…100100011000101111000
3112021110122002120122001102
4322223031230203011320
51012030300331043000
612324200214310532
7564211643213402
oct72531554430570
915243562518042
104032130331000
1113150204aa932
12551554358448
132332c763b205
14dd22868bb72
156ed41b3d3d5
hex3aacdb23178

4032130331000 has 128 divisors (see below), whose sum is σ = 9540939058560. Its totient is φ = 1594874880000.

The previous prime is 4032130330967. The next prime is 4032130331027. The reversal of 4032130331000 is 1330312304.

It is a super-2 number, since 2×40321303310002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 32168450 + ... + 32293550.

It is an arithmetic number, because the mean of its divisors is an integer number (74538586395).

Almost surely, 24032130331000 is an apocalyptic number.

4032130331000 is a gapful number since it is divisible by the number (40) 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 4032130331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770469529280).

4032130331000 is an abundant number, since it is smaller than the sum of its proper divisors (5508808727560).

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

4032130331000 is a wasteful number, since it uses less digits than its factorization.

4032130331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125482 (or 125468 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 4032130331000 its reverse (1330312304), we get a palindrome (4033460643304).

The spelling of 4032130331000 in words is "four trillion, thirty-two billion, one hundred thirty million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 167 193 200 250 334 386 500 668 772 835 965 1000 1336 1544 1670 1930 3340 3860 4175 4825 6680 7720 8350 9650 16700 19300 20875 24125 32231 33400 38600 41750 48250 64462 83500 96500 125101 128924 161155 167000 193000 250202 257848 322310 500404 625505 644620 805775 1000808 1251010 1289240 1611550 2502020 3127525 3223100 4028875 5004040 6255050 6446200 8057750 12510100 15637625 16115500 20891867 24144493 25020200 31275250 32231000 41783734 48288986 62550500 83567468 96577972 104459335 120722465 125101000 167134936 193155944 208918670 241444930 417837340 482889860 522296675 603612325 835674680 965779720 1044593350 1207224650 2089186700 2414449300 2611483375 3018061625 4032130331 4178373400 4828898600 5222966750 6036123250 8064260662 10445933500 12072246500 16128521324 20160651655 20891867000 24144493000 32257042648 40321303310 80642606620 100803258275 161285213240 201606516550 403213033100 504016291375 806426066200 1008032582750 2016065165500 4032130331000