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2114204303120 = 2457131209724007
BaseRepresentation
bin11110110001000000011…
…001010111111100010000
321111010010112101112222112
4132301000121113330100
5234114342300144440
64255130235324452
7305513645031020
oct36610031277420
97433115345875
102114204303120
117456a1237078
122a18b68b0728
131244a3ab57b0
14744841a9a80
1539ede254965
hex1ec40657f10

2114204303120 has 160 divisors (see below), whose sum is σ = 6050629068288. Its totient is φ = 669027631104.

The previous prime is 2114204303059. The next prime is 2114204303149. The reversal of 2114204303120 is 213034024112.

It is a super-2 number, since 2×21142043031202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88054157 + ... + 88078163.

Almost surely, 22114204303120 is an apocalyptic number.

2114204303120 is a gapful number since it is divisible by the number (20) 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 2114204303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025314534144).

2114204303120 is an abundant number, since it is smaller than the sum of its proper divisors (3936424765168).

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

2114204303120 is a wasteful number, since it uses less digits than its factorization.

2114204303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36137 (or 36131 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2114204303120 its reverse (213034024112), we get a palindrome (2327238327232).

The spelling of 2114204303120 in words is "two trillion, one hundred fourteen billion, two hundred four million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 12097 24007 24194 48014 48388 60485 84679 96028 96776 120035 120970 157261 168049 169358 192056 193552 240070 241940 312091 314522 336098 338716 384112 423395 480140 483880 624182 629044 672196 677432 786305 840245 846790 960280 967760 1100827 1248364 1258088 1344392 1354864 1560455 1572610 1680490 1693580 1920560 2184637 2201654 2496728 2516176 2688784 3120910 3145220 3360980 3387160 4369274 4403308 4993456 5504135 6241820 6290440 6721960 6774320 8738548 8806616 10923185 11008270 12483640 12580880 13443920 17477096 17613232 21846370 22016540 24967280 34954192 43692740 44033080 87385480 88066160 174770960 290412679 580825358 1161650716 1452063395 2032888753 2323301432 2904126790 3775364827 4065777506 4646602864 5808253580 7550729654 8131555012 10164443765 11616507160 15101459308 16263110024 18876824135 20328887530 23233014320 26427553789 30202918616 32526220048 37753648270 40657775060 52855107578 60405837232 75507296540 81315550120 105710215156 132137768945 151014593080 162631100240 211420430312 264275537890 302029186160 422840860624 528551075780 1057102151560 2114204303120