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103452134040 = 23345191680509
BaseRepresentation
bin110000001011000111…
…0100100101010011000
3100220000202102220220000
41200112032210222120
53143332221242130
6115305242133000
710321432426143
oct1402616445230
9326022386800
10103452134040
113a96803a542
1218071ab1160
1399a8a8a0c8
14501571d05a
152a5733e260
hex18163a4a98

103452134040 has 160 divisors (see below), whose sum is σ = 366015078000. Its totient is φ = 26135260416.

The previous prime is 103452134039. The next prime is 103452134041. The reversal of 103452134040 is 40431254301.

It is a happy number.

103452134040 is a `hidden beast` number, since 1 + 0 + 3 + 45 + 213 + 404 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103452134039) and next prime (103452134041).

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

It is a junction number, because it is equal to n+sod(n) for n = 103452133995 and 103452134013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103452134041) 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, 778695 + ... + 901814.

Almost surely, 2103452134040 is an apocalyptic number.

103452134040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103452134040 is an abundant number, since it is smaller than the sum of its proper divisors (262562943960).

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

103452134040 is a wasteful number, since it uses less digits than its factorization.

103452134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680551 (or 1680538 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 103452134040 its reverse (40431254301), we get a palindrome (143883388341).

The spelling of 103452134040 in words is "one hundred three billion, four hundred fifty-two million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2565 3078 3240 3420 4104 5130 6156 6840 7695 10260 12312 15390 20520 30780 61560 1680509 3361018 5041527 6722036 8402545 10083054 13444072 15124581 16805090 20166108 25207635 30249162 31929671 33610180 40332216 45373743 50415270 60498324 63859342 67220360 75622905 90747486 95789013 100830540 120996648 127718684 136121229 151245810 159648355 181494972 191578026 201661080 226868715 255437368 272242458 287367039 302491620 319296710 362989944 383156052 453737430 478945065 544484916 574734078 604983240 638593420 680606145 766312104 862101117 907474860 957890130 1088969832 1149468156 1277186840 1361212290 1436835195 1724202234 1814949720 1915780260 2298936312 2586303351 2722424580 2873670390 3448404468 3831560520 4310505585 5172606702 5444849160 5747340780 6896808936 8621011170 10345213404 11494681560 12931516755 17242022340 20690426808 25863033510 34484044680 51726067020 103452134040