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1001211302300 = 22521119463710331
BaseRepresentation
bin11101001000111001101…
…10000001000110011100
310112201022010200221212012
432210130312001012130
5112400440043133200
62043541120530352
7132222643436426
oct16443466010634
93481263627765
101001211302300
1135667a751280
1214205b7809b8
137354c219571
143665d279816
151b09cc85a35
hexe91cd8119c

1001211302300 has 144 divisors (see below), whose sum is σ = 2495664017280. Its totient is φ = 344807136000.

The previous prime is 1001211302297. The next prime is 1001211302323. The reversal of 1001211302300 is 32031121001.

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, 96908135 + ... + 96918465.

It is an arithmetic number, because the mean of its divisors is an integer number (17331000120).

Almost surely, 21001211302300 is an apocalyptic number.

1001211302300 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 1001211302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247832008640).

1001211302300 is an abundant number, since it is smaller than the sum of its proper divisors (1494452714980).

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

1001211302300 is a wasteful number, since it uses less digits than its factorization.

1001211302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15012 (or 15005 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1001211302300 its reverse (32031121001), we get a palindrome (1033242423301).

The spelling of 1001211302300 in words is "one trillion, one billion, two hundred eleven million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 4637 5225 9274 10331 10450 18548 20662 20900 23185 41324 46370 51007 51655 88103 92740 102014 103310 113641 115925 176206 196289 204028 206620 227282 231850 255035 258275 352412 392578 440515 454564 463700 510070 516550 568205 785156 881030 969133 981445 1020140 1033100 1136410 1275175 1762060 1938266 1962890 2159179 2202575 2272820 2550350 2841025 3876532 3925780 4318358 4405150 4845665 4907225 5100700 5682050 8636716 8810300 9691330 9814450 10795895 11364100 19382660 19628900 21591790 24228325 43183580 47904847 48456650 53979475 95809694 96913300 107958950 191619388 215917900 239524235 479048470 526953317 910192093 958096940 1053906634 1197621175 1820384186 2107813268 2395242350 2634766585 3640768372 4550960465 4790484700 5269533170 9101920930 10012113023 10539066340 13173832925 18203841860 20024226046 22754802325 26347665850 40048452092 45509604650 50060565115 52695331700 91019209300 100121130230 200242260460 250302825575 500605651150 1001211302300