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1021201330000 = 2454131779543
BaseRepresentation
bin11101101110001000101…
…01111010111101010000
310121121220021110120200111
432313010111322331100
5113212410020030000
62101044452331104
7133531215040525
oct16670425727520
93547807416614
101021201330000
113640a8589a25
12145aba313a94
13753b6812117
14375d80c714c
151b86cbd1cba
hexedc457af50

1021201330000 has 100 divisors (see below), whose sum is σ = 2491307251488. Its totient is φ = 405361840000.

The previous prime is 1021201329931. The next prime is 1021201330001. The reversal of 1021201330000 is 331021201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021201330001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 920229 + ... + 1699771.

Almost surely, 21021201330000 is an apocalyptic number.

1021201330000 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 1021201330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245653625744).

1021201330000 is an abundant number, since it is smaller than the sum of its proper divisors (1470105921488).

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

1021201330000 is an equidigital number, since it uses as much as digits as its factorization.

1021201330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779702 (or 779681 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1021201330000 its reverse (331021201), we get a palindrome (1021532351201).

The spelling of 1021201330000 in words is "one trillion, twenty-one billion, two hundred one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 625 655 1000 1048 1250 1310 2000 2096 2500 2620 3275 5000 5240 6550 10000 10480 13100 16375 26200 32750 52400 65500 81875 131000 163750 262000 327500 655000 779543 1310000 1559086 3118172 3897715 6236344 7795430 12472688 15590860 19488575 31181720 38977150 62363440 77954300 97442875 102120133 155908600 194885750 204240266 311817200 389771500 408480532 487214375 510600665 779543000 816961064 974428750 1021201330 1559086000 1633922128 1948857500 2042402660 2553003325 3897715000 4084805320 5106006650 7795430000 8169610640 10212013300 12765016625 20424026600 25530033250 40848053200 51060066500 63825083125 102120133000 127650166250 204240266000 255300332500 510600665000 1021201330000