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10100200101000 = 2335319177196493
BaseRepresentation
bin1001001011111010001011…
…0101101101010010001000
31022202120101022101210001020
42102332202311231102020
52310440202211213000
633251545020552440
72061500242220532
oct222764265552210
938676338353036
1010100200101000
11324451a710a49
1211715a06b2720
135835a2259209
1426cbd099a852
15127ae1a06ba0
hex92fa2d6d488

10100200101000 has 128 divisors (see below), whose sum is σ = 33171183676800. Its totient is φ = 2551629484800.

The previous prime is 10100200100999. The next prime is 10100200101119. The reversal of 10100200101000 is 10100200101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10100200101000.

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, 88541247 + ... + 88655246.

It is an arithmetic number, because the mean of its divisors is an integer number (259149872475).

Almost surely, 210100200101000 is an apocalyptic number.

10100200101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100200101000 is an abundant number, since it is smaller than the sum of its proper divisors (23070983575800).

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

10100200101000 is a wasteful number, since it uses less digits than its factorization.

10100200101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177196536 (or 177196522 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100200101000 its reverse (10100200101), we get a palindrome (10110300301101).

10100200101000 divided by its reverse (10100200101) gives a cube (1000 = 103).

The spelling of 10100200101000 in words is "ten trillion, one hundred billion, two hundred million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 177196493 354392986 531589479 708785972 885982465 1063178958 1417571944 1771964930 2126357916 2657947395 3366733367 3543929860 4252715832 4429912325 5315894790 6733466734 7087859720 8859824650 10100200101 10631789580 13289736975 13466933468 16833666835 17719649300 20200400202 21263579160 22149561625 26579473950 26933866936 33667333670 35439298600 40400800404 44299123250 50501000505 53158947900 66448684875 67334667340 80801600808 84168334175 88598246500 101002001010 106317895800 132897369750 134669334680 168336668350 177196493000 202004002020 252505002525 265794739500 336673336700 404008004040 420841670875 505010005050 531589479000 673346673400 841683341750 1010020010100 1262525012625 1683366683500 2020040020200 2525050025250 3366733367000 5050100050500 10100200101000