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1103302042040 = 2351117151976823
BaseRepresentation
bin10000000011100001111…
…011010010000110111000
310220110211000102212212002
4100003201323102012320
5121034030310321130
62202503331440132
7142465565423162
oct20034173220670
93813730385762
101103302042040
113959a9270060
121599b1756048
138006bc23bc3
143b585c55932
151da75808b45
hex100e1ed21b8

1103302042040 has 128 divisors (see below), whose sum is σ = 2886397701120. Its totient is φ = 375099648000.

The previous prime is 1103302042027. The next prime is 1103302042067. The reversal of 1103302042040 is 402402033011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641069 + ... + 1617891.

It is an arithmetic number, because the mean of its divisors is an integer number (22549982040).

Almost surely, 21103302042040 is an apocalyptic number.

1103302042040 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 1103302042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443198850560).

1103302042040 is an abundant number, since it is smaller than the sum of its proper divisors (1783095659080).

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

1103302042040 is a wasteful number, since it uses less digits than its factorization.

1103302042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977013 (or 977009 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1103302042040 its reverse (402402033011), we get a palindrome (1505704075051).

The spelling of 1103302042040 in words is "one trillion, one hundred three billion, three hundred two million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 151 170 187 220 302 340 374 440 604 680 748 755 935 1208 1496 1510 1661 1870 2567 3020 3322 3740 5134 6040 6644 7480 8305 10268 12835 13288 16610 20536 25670 28237 33220 51340 56474 66440 102680 112948 141185 225896 282370 564740 976823 1129480 1953646 3907292 4884115 7814584 9768230 10745053 16605991 19536460 21490106 33211982 39072920 42980212 53725265 66423964 83029955 85960424 107450530 132847928 147500273 166059910 182665901 214901060 295000546 332119820 365331802 429802120 590001092 664239640 730663604 737501365 913329505 1180002184 1461327208 1475002730 1622503003 1826659010 2507504641 2950005460 3245006006 3653318020 5015009282 5900010920 6490012012 7306636040 8112515015 10030018564 12537523205 12980024024 16225030030 20060037128 25075046410 27582551051 32450060060 50150092820 55165102102 64900120120 100300185640 110330204204 137912755255 220660408408 275825510510 551651021020 1103302042040