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30103380240 = 2435202961819
BaseRepresentation
bin11100000010010011…
…010010000100010000
32212200221211011101220
4130002103102010100
5443122431131430
621455043525040
72113663336653
oct340223220420
985627734356
1030103380240
111184863414a
125a01689780
132ab992033b
14165807989a
15bb2c4a110
hex7024d2110

30103380240 has 80 divisors (see below), whose sum is σ = 93367982400. Its totient is φ = 8023481856.

The previous prime is 30103380239. The next prime is 30103380247. The reversal of 30103380240 is 4208330103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30103380240.

It is not an unprimeable number, because it can be changed into a prime (30103380247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456051 + ... + 517869.

It is an arithmetic number, because the mean of its divisors is an integer number (1167099780).

Almost surely, 230103380240 is an apocalyptic number.

30103380240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30103380240 is an abundant number, since it is smaller than the sum of its proper divisors (63264602160).

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

30103380240 is a wasteful number, since it uses less digits than its factorization.

30103380240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63864 (or 63858 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 30103380240 in words is "thirty billion, one hundred three million, three hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2029 4058 6087 8116 10145 12174 16232 20290 24348 30435 32464 40580 48696 60870 61819 81160 97392 121740 123638 162320 185457 243480 247276 309095 370914 486960 494552 618190 741828 927285 989104 1236380 1483656 1854570 2472760 2967312 3709140 4945520 7418280 14836560 125430751 250861502 376292253 501723004 627153755 752584506 1003446008 1254307510 1505169012 1881461265 2006892016 2508615020 3010338024 3762922530 5017230040 6020676048 7525845060 10034460080 15051690120 30103380240