Search a number
-
+
103555465640 = 235119710124023
BaseRepresentation
bin110000001110001100…
…0110000000110101000
3100220021221212201012022
41200130120300012220
53144040144400030
6115323413004012
710324125635354
oct1403430600650
9326257781168
10103555465640
113aa103a7060
12180a0623608
1399c42c9173
14502533a464
152a61450de5
hex181c6301a8

103555465640 has 128 divisors (see below), whose sum is σ = 259355416320. Its totient is φ = 36897792000.

The previous prime is 103555465633. The next prime is 103555465687. The reversal of 103555465640 is 46564555301.

It is a super-3 number, since 3×1035554656403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 103555465591 and 103555465600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4298669 + ... + 4322691.

It is an arithmetic number, because the mean of its divisors is an integer number (2026214190).

Almost surely, 2103555465640 is an apocalyptic number.

103555465640 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 103555465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129677708160).

103555465640 is an abundant number, since it is smaller than the sum of its proper divisors (155799950680).

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

103555465640 is a wasteful number, since it uses less digits than its factorization.

103555465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24243 (or 24239 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 44.

The spelling of 103555465640 in words is "one hundred three billion, five hundred fifty-five million, four hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 101 110 194 202 220 388 404 440 485 505 776 808 970 1010 1067 1111 1940 2020 2134 2222 3880 4040 4268 4444 5335 5555 8536 8888 9797 10670 11110 19594 21340 22220 24023 39188 42680 44440 48046 48985 78376 96092 97970 107767 120115 192184 195940 215534 240230 264253 391880 431068 480460 528506 538835 862136 960920 1057012 1077670 1321265 2114024 2155340 2330231 2426323 2642530 4310680 4660462 4852646 5285060 9320924 9705292 10570120 11651155 12131615 18641848 19410584 23302310 24263230 25632541 26689553 46604620 48526460 51265082 53379106 93209240 97052920 102530164 106758212 128162705 133447765 205060328 213516424 235353331 256325410 266895530 470706662 512650820 533791060 941413324 1025301640 1067582120 1176766655 1882826648 2353533310 2588886641 4707066620 5177773282 9414133240 10355546564 12944433205 20711093128 25888866410 51777732820 103555465640