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10032342001000 = 2353111516039941
BaseRepresentation
bin1001000111111101011000…
…1011100110010101101000
31022112002020011102010121021
42101333112023212111220
52303332214023013000
633200443322222224
72053545533665354
oct221772613462550
938462204363537
1010032342001000
113218768576070
121160403054974
1357a0797b0017
142697d461a464
15125e6e48811a
hex91fd62e6568

10032342001000 has 128 divisors (see below), whose sum is σ = 25779438846720. Its totient is φ = 3623964000000.

The previous prime is 10032342000949. The next prime is 10032342001037. The reversal of 10032342001000 is 10024323001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358971 + ... + 4680970.

It is an arithmetic number, because the mean of its divisors is an integer number (201401865990).

Almost surely, 210032342001000 is an apocalyptic number.

10032342001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032342001000 is an abundant number, since it is smaller than the sum of its proper divisors (15747096845720).

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

10032342001000 is a wasteful number, since it uses less digits than its factorization.

10032342001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040124 (or 6040110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10032342001000 its reverse (10024323001), we get a palindrome (10042366324001).

The spelling of 10032342001000 in words is "ten trillion, thirty-two billion, three hundred forty-two million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 151 200 220 250 275 302 440 500 550 604 755 1000 1100 1208 1375 1510 1661 2200 2750 3020 3322 3775 5500 6040 6644 7550 8305 11000 13288 15100 16610 18875 30200 33220 37750 41525 66440 75500 83050 151000 166100 207625 332200 415250 830500 1661000 6039941 12079882 24159764 30199705 48319528 60399410 66439351 120798820 132878702 150998525 241597640 265757404 301997050 332196755 531514808 603994100 664393510 754992625 912031091 1207988200 1328787020 1509985250 1660983775 1824062182 2657574040 3019970500 3321967550 3648124364 4560155455 6039941000 6643935100 7296248728 8304918875 9120310910 10032342001 13287870200 16609837750 18240621820 20064684002 22800777275 33219675500 36481243640 40129368004 45601554550 50161710005 66439351000 80258736008 91203109100 100323420010 114003886375 182406218200 200646840020 228007772750 250808550025 401293680040 456015545500 501617100050 912031091000 1003234200100 1254042750125 2006468400200 2508085500250 5016171000500 10032342001000