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1000211220300 = 2235212729278969
BaseRepresentation
bin11101000111000010011…
…11000000011101001100
310112121201102212112021010
432203201033000131030
5112341413033022200
62043253553405220
7132156111044445
oct16434117003514
93477642775233
101000211220300
11356207181926
12141a20869810
137341cc80c76
14365a650a2cc
151b04008a150
hexe8e13c074c

1000211220300 has 144 divisors (see below), whose sum is σ = 2918053232640. Its totient is φ = 264502909440.

The previous prime is 1000211220247. The next prime is 1000211220331. The reversal of 1000211220300 is 30221120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 111514216 + ... + 111523184.

It is an arithmetic number, because the mean of its divisors is an integer number (20264258560).

Almost surely, 21000211220300 is an apocalyptic number.

1000211220300 is a gapful number since it is divisible by the number (10) 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 1000211220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459026616320).

1000211220300 is an abundant number, since it is smaller than the sum of its proper divisors (1917842012340).

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

1000211220300 is a wasteful number, since it uses less digits than its factorization.

1000211220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12040 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000211220300 its reverse (30221120001), we get a palindrome (1030432340301).

The spelling of 1000211220300 in words is "one trillion, two hundred eleven million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 2927 3175 3810 5854 6350 7620 8781 8969 9525 11708 12700 14635 17562 17938 19050 26907 29270 35124 35876 38100 43905 44845 53814 58540 73175 87810 89690 107628 134535 146350 175620 179380 219525 224225 269070 292700 371729 439050 448450 538140 672675 743458 878100 896900 1115187 1139063 1345350 1486916 1858645 2230374 2278126 2690700 3417189 3717290 4460748 4556252 5575935 5695315 6834378 7434580 9293225 11151870 11390630 13668756 17085945 18586450 22303740 22781260 26252263 27879675 28476575 34171890 37172900 52504526 55759350 56953150 68343780 78756789 85429725 105009052 111518700 113906300 131261315 157513578 170859450 262522630 315027156 341718900 393783945 525045260 656306575 787567890 1312613150 1575135780 1968919725 2625226300 3334037401 3937839450 6668074802 7875678900 10002112203 13336149604 16670187005 20004224406 33340374010 40008448812 50010561015 66680748020 83350935025 100021122030 166701870050 200042244060 250052805075 333403740100 500105610150 1000211220300