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1000210010100 = 2235274111616841
BaseRepresentation
bin11101000111000010010…
…10011000111111110100
310112121201100121001011220
432203201022120333310
5112341412230310400
62043253511430340
7132156064544250
oct16434112307764
93477640531156
101000210010100
11356206525664
12141a203853b0
137341c949182
14365a62b3260
151b03edeb7a0
hexe8e1298ff4

1000210010100 has 144 divisors (see below), whose sum is σ = 3388028735616. Its totient is φ = 223043328000.

The previous prime is 1000210010083. The next prime is 1000210010161. The reversal of 1000210010100 is 10100120001.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5722321 + ... + 5894520.

Almost surely, 21000210010100 is an apocalyptic number.

1000210010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000210010100 is an abundant number, since it is smaller than the sum of its proper divisors (2387818725516).

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

1000210010100 is a wasteful number, since it uses less digits than its factorization.

1000210010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11616906 (or 11616899 counting only the distinct ones).

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

Adding to 1000210010100 its reverse (10100120001), we get a palindrome (1010310130101).

The spelling of 1000210010100 in words is "one trillion, two hundred ten million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 140 150 164 175 205 210 246 287 300 350 410 420 492 525 574 615 700 820 861 1025 1050 1148 1230 1435 1722 2050 2100 2460 2870 3075 3444 4100 4305 5740 6150 7175 8610 12300 14350 17220 21525 28700 43050 86100 11616841 23233682 34850523 46467364 58084205 69701046 81317887 116168410 139402092 162635774 174252615 232336820 243953661 290421025 325271548 348505230 406589435 476290481 487907322 580842050 697010460 813178870 871263075 952580962 975814644 1161684100 1219768305 1428871443 1626357740 1742526150 1905161924 2032947175 2381452405 2439536610 2857742886 3334033367 3485052300 4065894350 4762904810 4879073220 5715485772 6098841525 6668066734 7144357215 8131788700 9525809620 10002100101 11907262025 12197683050 13336133468 14288714430 16670166835 20004200202 23814524050 24395366100 28577428860 33340333670 35721786075 40008400404 47629048100 50010500505 66680667340 71443572150 83350834175 100021001010 142887144300 166701668350 200042002020 250052502525 333403336700 500105005050 1000210010100