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10055011001000 = 235372635754499
BaseRepresentation
bin1001001001010001110101…
…0110111110001010101000
31022121020202000010122112212
42102110131112332022220
52304220130304013000
633215112553424252
72055310355213360
oct222243526761250
938536660118485
1010055011001000
113227340638309
12116488aa0b088
1357c2501091a4
1426a9451859a0
151268496b3c35
hex9251d5be2a8

10055011001000 has 128 divisors (see below), whose sum is σ = 26891485920000. Its totient is φ = 3447238291200.

The previous prime is 10055011000973. The next prime is 10055011001017. The reversal of 10055011001000 is 10011055001.

It is a super-2 number, since 2×100550110010002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 184471751 + ... + 184526249.

It is an arithmetic number, because the mean of its divisors is an integer number (210089733750).

Almost surely, 210055011001000 is an apocalyptic number.

10055011001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055011001000 is an abundant number, since it is smaller than the sum of its proper divisors (16836474919000).

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

10055011001000 is a wasteful number, since it uses less digits than its factorization.

10055011001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80884 (or 80870 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 10055011001000 its reverse (10011055001), we get a palindrome (10065022056001).

The spelling of 10055011001000 in words is "ten trillion, fifty-five billion, eleven million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 26357 52714 54499 105428 108998 131785 184499 210856 217996 263570 272495 368998 381493 435992 527140 544990 658925 737996 762986 922495 1054280 1089980 1317850 1362475 1475992 1525972 1844990 1907465 2179960 2635700 2724950 3051944 3294625 3689980 3814930 4612475 5271400 5449900 6589250 6812375 7379960 7629860 9224950 9537325 10899800 13178500 13624750 15259720 18449900 19074650 23062375 26357000 27249500 36899800 38149300 46124750 47686625 54499000 76298600 92249500 95373250 184499000 190746500 381493000 1436430143 2872860286 5745720572 7182150715 10055011001 11491441144 14364301430 20110022002 28728602860 35910753575 40220044004 50275055005 57457205720 71821507150 80440088008 100550110010 143643014300 179553767875 201100220020 251375275025 287286028600 359107535750 402200440040 502750550050 718215071500 1005501100100 1256876375125 1436430143000 2011002200200 2513752750250 5027505500500 10055011001000