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1300243435000 = 23541953258241
BaseRepresentation
bin10010111010111100100…
…011000100110111111000
311121022011012102020021021
4102322330203010313320
5132300344304410000
62433153521152224
7162640146561406
oct22727443046770
94538135366237
101300243435000
11461480581544
1218bbb4a8b674
13957c667b913
1446d09a36476
1523c504ae11a
hex12ebc8c4df8

1300243435000 has 160 divisors (see below), whose sum is σ = 3267329432400. Its totient is φ = 483425280000.

The previous prime is 1300243434961. The next prime is 1300243435009. The reversal of 1300243435000 is 5343420031.

It is a super-3 number, since 3×13002434350003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300243435009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4905880 + ... + 5164120.

Almost surely, 21300243435000 is an apocalyptic number.

1300243435000 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 1300243435000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633664716200).

1300243435000 is an abundant number, since it is smaller than the sum of its proper divisors (1967085997400).

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

1300243435000 is a wasteful number, since it uses less digits than its factorization.

1300243435000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258339 (or 258320 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 1300243435000 its reverse (5343420031), we get a palindrome (1305586855031).

The spelling of 1300243435000 in words is "one trillion, three hundred billion, two hundred forty-three million, four hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 53 76 95 100 106 125 152 190 200 212 250 265 380 424 475 500 530 625 760 950 1000 1007 1060 1250 1325 1900 2014 2120 2375 2500 2650 3800 4028 4750 5000 5035 5300 6625 8056 9500 10070 10600 11875 13250 19000 20140 23750 25175 26500 33125 40280 47500 50350 53000 66250 95000 100700 125875 132500 201400 251750 258241 265000 503500 516482 629375 1007000 1032964 1258750 1291205 2065928 2517500 2582410 4906579 5035000 5164820 6456025 9813158 10329640 12912050 13686773 19626316 24532895 25824100 27373546 32280125 39252632 49065790 51648200 54747092 64560250 68433865 98131580 109494184 122664475 129120500 136867730 161400625 196263160 245328950 258241000 260048687 273735460 322801250 342169325 490657900 520097374 547470920 613322375 645602500 684338650 981315800 1040194748 1226644750 1291205000 1300243435 1368677300 1710846625 2080389496 2453289500 2600486870 2737354600 3066611875 3421693250 4906579000 5200973740 6133223750 6501217175 6843386500 8554233125 10401947480 12266447500 13002434350 13686773000 17108466250 24532895000 26004868700 32506085875 34216932500 52009737400 65012171750 68433865000 130024343500 162530429375 260048687000 325060858750 650121717500 1300243435000