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1021201553104 = 243143199240607
BaseRepresentation
bin11101101110001000101…
…10110001011011010000
310121121220021212220201121
432313010112301123100
5113212410044144404
62101044501212024
7133531216660135
oct16670426613320
93547807786647
101021201553104
113640a8721607
12145aba401014
13753b688c835
14375d814458c
151b86cc27e54
hexedc45b16d0

1021201553104 has 80 divisors (see below), whose sum is σ = 2100411596800. Its totient is φ = 480211079040.

The previous prime is 1021201553051. The next prime is 1021201553129. The reversal of 1021201553104 is 4013551021201.

1021201553104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10212015531042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4123969 + ... + 4364575.

It is an arithmetic number, because the mean of its divisors is an integer number (26255144960).

Almost surely, 21021201553104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021201553104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050205798400).

1021201553104 is an abundant number, since it is smaller than the sum of its proper divisors (1079210043696).

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

1021201553104 is a wasteful number, since it uses less digits than its factorization.

1021201553104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240888 (or 240882 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 1021201553104 its reverse (4013551021201), we get a palindrome (5034752574305).

The spelling of 1021201553104 in words is "one trillion, twenty-one billion, two hundred one million, five hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 199 248 344 398 496 688 796 1333 1592 2666 3184 5332 6169 8557 10664 12338 17114 21328 24676 34228 49352 68456 98704 136912 240607 265267 481214 530534 962428 1061068 1924856 2122136 3849712 4244272 7458817 10346101 14917634 20692202 29835268 41384404 47880793 59670536 82768808 95761586 119341072 165537616 191523172 320729131 383046344 641458262 766092688 1282916524 1484304583 2058874099 2565833048 2968609166 4117748198 5131666096 5937218332 8235496396 11874436664 16470992792 23748873328 32941985584 63825097069 127650194138 255300388276 510600776552 1021201553104