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103433502420 = 22345149428509
BaseRepresentation
bin110000001010100011…
…1011111111011010100
3100212222110101100010000
41200111013133323110
53143312434034140
6115303334531300
710321115156433
oct1402507377324
9325873340100
10103433502420
113a958574306
1218067806b30
1399a4c65791
14501306d11a
152a558ada30
hex18151dfed4

103433502420 has 120 divisors (see below), whose sum is σ = 326653173000. Its totient is φ = 27397087488.

The previous prime is 103433502379. The next prime is 103433502421. The reversal of 103433502420 is 24205334301.

103433502420 is a `hidden beast` number, since 103 + 4 + 33 + 502 + 4 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2351474064 + 101082028356 = 48492^2 + 317934^2 .

It is a super-3 number, since 3×1034335024203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103433502421) 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, 27126 + ... + 455634.

It is an arithmetic number, because the mean of its divisors is an integer number (2722109775).

Almost surely, 2103433502420 is an apocalyptic number.

103433502420 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 103433502420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163326586500).

103433502420 is an abundant number, since it is smaller than the sum of its proper divisors (223219670580).

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

103433502420 is a wasteful number, since it uses less digits than its factorization.

103433502420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428679 (or 428668 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 103433502420 its reverse (24205334301), we get a palindrome (127638836721).

The spelling of 103433502420 in words is "one hundred three billion, four hundred thirty-three million, five hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 149 162 180 270 298 324 405 447 540 596 745 810 894 1341 1490 1620 1788 2235 2682 2980 4023 4470 5364 6705 8046 8940 12069 13410 16092 20115 24138 26820 40230 48276 60345 80460 120690 241380 428509 857018 1285527 1714036 2142545 2571054 3856581 4285090 5142108 6427635 7713162 8570180 11569743 12855270 15426324 19282905 23139486 25710540 34709229 38565810 46278972 57848715 63847841 69418458 77131620 115697430 127695682 138836916 173546145 191543523 231394860 255391364 319239205 347092290 383087046 574630569 638478410 694184580 766174092 957717615 1149261138 1276956820 1723891707 1915435230 2298522276 2873152845 3447783414 3830870460 5171675121 5746305690 6895566828 8619458535 10343350242 11492611380 17238917070 20686700484 25858375605 34477834140 51716751210 103433502420