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1005410310030 = 23357618720707
BaseRepresentation
bin11101010000101110001…
…11111101011110001110
310120010010202212122121000
432220113013331132032
5112433040014410110
62045513520121130
7132432001425450
oct16502707753616
93503122778530
101005410310030
113584349aa9a5
12142a31a661a6
1373a6b138719
143693abd42d0
151b24671b1c0
hexea171fd78e

1005410310030 has 128 divisors (see below), whose sum is σ = 3114339240960. Its totient is φ = 226040699520.

The previous prime is 1005410310017. The next prime is 1005410310083. The reversal of 1005410310030 is 300130145001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1005410309985 and 1005410310012.

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, 4245064 + ... + 4475643.

It is an arithmetic number, because the mean of its divisors is an integer number (24330775320).

Almost surely, 21005410310030 is an apocalyptic number.

1005410310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005410310030 is an abundant number, since it is smaller than the sum of its proper divisors (2108928930930).

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

1005410310030 is a wasteful number, since it uses less digits than its factorization.

1005410310030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8720791 (or 8720785 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 1005410310030 its reverse (300130145001), we get a palindrome (1305540455031).

The spelling of 1005410310030 in words is "one trillion, five billion, four hundred ten million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 61 63 70 90 105 122 126 135 183 189 210 270 305 315 366 378 427 549 610 630 854 915 945 1098 1281 1647 1830 1890 2135 2562 2745 3294 3843 4270 5490 6405 7686 8235 11529 12810 16470 19215 23058 38430 57645 115290 8720707 17441414 26162121 43603535 52324242 61044949 78486363 87207070 122089898 130810605 156972726 183134847 235459089 261621210 305224745 366269694 392431815 470918178 531963127 549404541 610449490 784863630 915674235 1063926254 1098809082 1177295445 1595889381 1648213623 1831348470 2354590890 2659815635 2747022705 3191778762 3296427246 3723741889 4787668143 5319631270 5494045410 7447483778 7979446905 8241068115 9575336286 11171225667 14363004429 15958893810 16482136230 18618709445 22342451334 23938340715 28726008858 33513677001 37237418890 47876681430 55856128335 67027354002 71815022145 100541031003 111712256670 143630044290 167568385005 201082062006 335136770010 502705155015 1005410310030