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120000200021010 = 23354332213208921
BaseRepresentation
bin11011010010001110111001…
…010010111001010000010010
3120201212220111021011011012000
4123102032321102321100102
5111212040402201133020
61103115155244014430
734163504552266611
oct3322167122712022
9521786437134160
10120000200021010
1135265887570a31
1211560a14231416
1351c5c7c9c06ba
14218c07d859878
15dd1731eb6090
hex6d23b94b9412

120000200021010 has 128 divisors (see below), whose sum is σ = 327544166949120. Its totient is φ = 31246152537600.

The previous prime is 120000200020993. The next prime is 120000200021057. The reversal of 120000200021010 is 10120002000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120000200020983 and 120000200021001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35791350 + ... + 39000270.

It is an arithmetic number, because the mean of its divisors is an integer number (2558938804290).

Almost surely, 2120000200021010 is an apocalyptic number.

120000200021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120000200021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163772083474560).

120000200021010 is an abundant number, since it is smaller than the sum of its proper divisors (207543966928110).

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

120000200021010 is a wasteful number, since it uses less digits than its factorization.

120000200021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212201 (or 3212195 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120000200021010 its reverse (10120002000021), we get a palindrome (130120202021031).

The spelling of 120000200021010 in words is "one hundred twenty trillion, two hundred million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3221 3870 5805 6442 9663 11610 16105 19326 28989 32210 48315 57978 86967 96630 138503 144945 173934 277006 289890 415509 434835 692515 831018 869670 1246527 1385030 2077545 2493054 3208921 3739581 4155090 6232635 6417842 7479162 9626763 12465270 16044605 18697905 19253526 28880289 32089210 37395810 48133815 57760578 86640867 96267630 137983603 144401445 173281734 275967206 288802890 413950809 433204335 689918015 827901618 866408670 1241852427 1379836030 2069754045 2483704854 3725557281 4139508090 6209262135 7451114562 10335934541 12418524270 18627786405 20671869082 31007803623 37255572810 51679672705 62015607246 93023410869 103359345410 155039018115 186046821738 279070232607 310078036230 444445185263 465117054345 558140465214 888890370526 930234108690 1333335555789 1395351163035 2222225926315 2666671111578 2790702326070 4000006667367 4444451852630 6666677778945 8000013334734 12000020002101 13333355557890 20000033336835 24000040004202 40000066673670 60000100010505 120000200021010