Search a number
-
+
13100030414300 = 22522943178758787
BaseRepresentation
bin1011111010100001011010…
…1010001100110111011100
31201101100110122101002002202
42332220112222030313130
53204112330241224200
643510023151311032
72521305652162334
oct276502652146734
951340418332082
1013100030414300
1141a0767719585
121576a5981b478
1374043488658b
1433408b1220c4
1517ab663cd1d5
hexbea16a8cddc

13100030414300 has 144 divisors (see below), whose sum is σ = 30108551679360. Its totient is φ = 4938814083840.

The previous prime is 13100030414293. The next prime is 13100030414311. The reversal of 13100030414300 is 341403000131.

It is a super-2 number, since 2×131000304143002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222809507 + ... + 222868293.

It is an arithmetic number, because the mean of its divisors is an integer number (209087164440).

Almost surely, 213100030414300 is an apocalyptic number.

13100030414300 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 13100030414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054275839680).

13100030414300 is an abundant number, since it is smaller than the sum of its proper divisors (17008521265060).

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

13100030414300 is a wasteful number, since it uses less digits than its factorization.

13100030414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60660 (or 60653 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13100030414300 its reverse (341403000131), we get a palindrome (13441433414431).

The spelling of 13100030414300 in words is "thirteen trillion, one hundred billion, thirty million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 86 100 116 145 172 215 290 430 580 725 860 1075 1247 1450 1787 2150 2494 2900 3574 4300 4988 6235 7148 8935 12470 17870 24940 31175 35740 44675 51823 58787 62350 76841 89350 103646 117574 124700 153682 178700 207292 235148 259115 293935 307364 384205 518230 587870 768410 1036460 1175740 1295575 1469675 1536820 1704823 1921025 2228389 2527841 2591150 2939350 3409646 3842050 4456778 5055682 5182300 5878700 6819292 7684100 8524115 8913556 10111364 11141945 12639205 17048230 22283890 25278410 34096460 42620575 44567780 50556820 55709725 63196025 73307389 85241150 105052369 111419450 126392050 146614778 170482300 210104738 222838900 252784100 293229556 366536945 420209476 525261845 733073890 1050523690 1466147780 1832684725 2101047380 2626309225 3046518701 3665369450 4517251867 5252618450 6093037402 7330738900 9034503734 10505236900 12186074804 15232593505 18069007468 22586259335 30465187010 45172518670 60930374020 76162967525 90345037340 112931296675 131000304143 152325935050 225862593350 262000608286 304651870100 451725186700 524001216572 655001520715 1310003041430 2620006082860 3275007603575 6550015207150 13100030414300