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1331332103310 = 235119775155381
BaseRepresentation
bin10011010111111001100…
…100111011110010001110
311201021101211020012210220
4103113321210323302032
5133303032004301220
62455334443212210
7165120436106346
oct23277144736216
94637354205726
101331332103310
114736842a0150
12196030517066
139870c457941
14486188add26
152496e981540
hex135f993bc8e

1331332103310 has 128 divisors (see below), whose sum is σ = 3526357137408. Its totient is φ = 318988800000.

The previous prime is 1331332103279. The next prime is 1331332103351. The reversal of 1331332103310 is 133012331331.

It is a super-2 number, since 2×13313321033102 (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 63 ways as a sum of consecutive naturals, for example, 24011820 + ... + 24067200.

It is an arithmetic number, because the mean of its divisors is an integer number (27549665136).

Almost surely, 21331332103310 is an apocalyptic number.

1331332103310 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 1331332103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763178568704).

1331332103310 is an abundant number, since it is smaller than the sum of its proper divisors (2195025034098).

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

1331332103310 is a wasteful number, since it uses less digits than its factorization.

1331332103310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56250.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1331332103310 its reverse (133012331331), we get a palindrome (1464344434641).

The spelling of 1331332103310 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 485 582 751 970 1067 1455 1502 2134 2253 2910 3201 3755 4506 5335 6402 7510 8261 10670 11265 16005 16522 22530 24783 32010 41305 49566 55381 72847 82610 110762 123915 145694 166143 218541 247830 276905 332286 364235 437082 553810 609191 728470 801317 830715 1092705 1218382 1602634 1661430 1827573 2185410 2403951 3045955 3655146 4006585 4807902 5371957 6091910 8013170 9137865 10743914 12019755 16115871 18275730 24039510 26859785 32231742 41591131 53719570 59091527 80579355 83182262 118183054 124773393 161158710 177274581 207955655 249546786 295457635 354549162 415911310 457502441 590915270 623866965 886372905 915004882 1247733930 1372507323 1772745810 2287512205 2745014646 4034339707 4575024410 6862536615 8068679414 12103019121 13725073230 20171698535 24206038242 40343397070 44377736777 60515095605 88755473554 121030191210 133133210331 221888683885 266266420662 443777367770 665666051655 1331332103310