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1052103213120 = 26353637301331
BaseRepresentation
bin11110100111101100011…
…11010000000001000000
310201120122212210220010010
433103312033100001000
5114214201410304440
62123155103104520
7136004045520321
oct17236617200100
93646585726103
101052103213120
11376215921103
1214baa32a2140
137829c9aca6b
1438cca21c448
151c57aaaa580
hexf4f63d0040

1052103213120 has 112 divisors (see below), whose sum is σ = 3341357247168. Its totient is φ = 280482785280.

The previous prime is 1052103213079. The next prime is 1052103213169. The reversal of 1052103213120 is 213123012501.

It is a super-2 number, since 2×10521032131202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3340855 + ... + 3642185.

Almost surely, 21052103213120 is an apocalyptic number.

1052103213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052103213120 is an abundant number, since it is smaller than the sum of its proper divisors (2289254034048).

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

1052103213120 is a wasteful number, since it uses less digits than its factorization.

1052103213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304988 (or 304978 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 1052103213120 its reverse (213123012501), we get a palindrome (1265226225621).

The spelling of 1052103213120 in words is "one trillion, fifty-two billion, one hundred three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3637 7274 10911 14548 18185 21822 29096 36370 43644 54555 58192 72740 87288 109110 116384 145480 174576 218220 232768 290960 301331 349152 436440 581920 602662 698304 872880 903993 1163840 1205324 1506655 1745760 1807986 2410648 3013310 3491520 3615972 4519965 4821296 6026620 7231944 9039930 9642592 12053240 14463888 18079860 19285184 24106480 28927776 36159720 48212960 57855552 72319440 96425920 144638880 289277760 1095940847 2191881694 3287822541 4383763388 5479704235 6575645082 8767526776 10959408470 13151290164 16439112705 17535053552 21918816940 26302580328 32878225410 35070107104 43837633880 52605160656 65756450820 70140214208 87675267760 105210321312 131512901640 175350535520 210420642624 263025803280 350701071040 526051606560 1052103213120