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1240301320100 = 2252375359910559
BaseRepresentation
bin10010000011000111101…
…110000011011110100100
311101120102201202021221122
4102003013232003132210
5130310114114220400
62345441521433112
7155415552162053
oct22030756033644
94346381667848
101240301320100
11439010840407
1218046649b798
138cc62c0ab8b
1444060b3039a
15223e2d92685
hex120c7b837a4

1240301320100 has 144 divisors (see below), whose sum is σ = 2821319424000. Its totient is φ = 472768657920.

The previous prime is 1240301320081. The next prime is 1240301320133. The reversal of 1240301320100 is 10231030421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117458621 + ... + 117469179.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496000).

Almost surely, 21240301320100 is an apocalyptic number.

1240301320100 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 1240301320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410659712000).

1240301320100 is an abundant number, since it is smaller than the sum of its proper divisors (1581018103900).

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

1240301320100 is a wasteful number, since it uses less digits than its factorization.

1240301320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262 (or 11255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1240301320100 its reverse (10231030421), we get a palindrome (1250532350521).

The spelling of 1240301320100 in words is "one trillion, two hundred forty billion, three hundred one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 53 74 100 106 148 185 212 265 370 530 599 740 925 1060 1198 1325 1850 1961 2396 2650 2995 3700 3922 5300 5990 7844 9805 10559 11980 14975 19610 21118 22163 29950 31747 39220 42236 44326 49025 52795 59900 63494 88652 98050 105590 110815 126988 158735 196100 211180 221630 263975 317470 390683 443260 527950 554075 559627 634940 781366 793675 1055900 1108150 1119254 1174639 1562732 1587350 1953415 2216300 2238508 2349278 2798135 3174700 3906830 4698556 5596270 5873195 6324841 7813660 9767075 11192540 11746390 12649682 13990675 19534150 20706199 23492780 25299364 27981350 29365975 31624205 39068300 41412398 55962700 58731950 63248410 82824796 103530995 117463900 126496820 158121025 207061990 234019117 316242050 335216573 414123980 468038234 517654975 632484100 670433146 936076468 1035309950 1170095585 1340866292 1676082865 2070619900 2340191170 3352165730 4680382340 5850477925 6704331460 8380414325 11700955850 12403013201 16760828650 23401911700 24806026402 33521657300 49612052804 62015066005 124030132010 248060264020 310075330025 620150660050 1240301320100