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2122041130440 = 2335711229658131
BaseRepresentation
bin11110111000010011100…
…000011111110111001000
321111212100200202122001020
4132320103200133313020
5234231420012133230
64302504025552440
7306212104666050
oct36702340376710
97455320678036
102122041130440
11748a52995470
122a3323345720
1312515259701a
14749c8d1a560
153a2ec26c810
hex1ee1381fdc8

2122041130440 has 128 divisors (see below), whose sum is σ = 7936985041920. Its totient is φ = 440943609600.

The previous prime is 2122041130427. The next prime is 2122041130471. The reversal of 2122041130440 is 440311402212.

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 2122041130440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114819826 + ... + 114838305.

It is an arithmetic number, because the mean of its divisors is an integer number (62007695640).

Almost surely, 22122041130440 is an apocalyptic number.

2122041130440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122041130440 is an abundant number, since it is smaller than the sum of its proper divisors (5814943911480).

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

2122041130440 is a wasteful number, since it uses less digits than its factorization.

2122041130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229658163 (or 229658159 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2122041130440 its reverse (440311402212), we get a palindrome (2562352532652).

The spelling of 2122041130440 in words is "two trillion, one hundred twenty-two billion, forty-one million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 229658131 459316262 688974393 918632524 1148290655 1377948786 1607606917 1837265048 2296581310 2526239441 2755897572 3215213834 3444871965 4593162620 4822820751 5052478882 5511795144 6430427668 6889743930 7578718323 8038034585 9186325240 9645641502 10104957764 12631197205 12860855336 13779487860 15157436646 16076069170 17683676087 19291283004 20209915528 24114103755 25262394410 27558975720 30314873292 32152138340 35367352174 37893591615 38582566008 48228207510 50524788820 53051028261 60629746584 64304276680 70734704348 75787183230 88418380435 96456415020 101049577640 106102056522 141469408696 151574366460 176836760870 192912830040 212204113044 265255141305 303148732920 353673521740 424408226088 530510282610 707347043480 1061020565220 2122041130440