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20332233211100 = 225217412271285069
BaseRepresentation
bin1001001111101111101111…
…00010011011110011011100
32122222202001021212022111012
410213313313202123303130
510131110403200223400
6111124255440514352
74165645456513526
oct447676742336334
978882037768435
1020332233211100
116529940650978
12234463391b9b8
13b46424066805
1450412a24ca16
15253d4c24ad35
hex127df789bcdc

20332233211100 has 144 divisors (see below), whose sum is σ = 48066573229920. Its totient is φ = 7434889420800.

The previous prime is 20332233211067. The next prime is 20332233211133. The reversal of 20332233211100 is 111233223302.

It is an interprime number because it is at equal distance from previous prime (20332233211067) and next prime (20332233211133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15179366 + ... + 16464434.

It is an arithmetic number, because the mean of its divisors is an integer number (333795647430).

Almost surely, 220332233211100 is an apocalyptic number.

20332233211100 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 20332233211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24033286614960).

20332233211100 is an abundant number, since it is smaller than the sum of its proper divisors (27734340018820).

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

20332233211100 is a wasteful number, since it uses less digits than its factorization.

20332233211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285368 (or 1285361 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 20332233211100 its reverse (111233223302), we get a palindrome (20443466434402).

The spelling of 20332233211100 in words is "twenty trillion, three hundred thirty-two billion, two hundred thirty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 227 340 410 425 454 697 820 850 908 1025 1135 1394 1700 2050 2270 2788 3485 3859 4100 4540 5675 6970 7718 9307 11350 13940 15436 17425 18614 19295 22700 34850 37228 38590 46535 69700 77180 93070 96475 158219 186140 192950 232675 316438 385900 465350 632876 791095 930700 1285069 1582190 2570138 3164380 3955475 5140276 6425345 7910950 12850690 15821900 21846173 25701380 32126725 43692346 52687829 64253450 87384692 105375658 109230865 128506900 210751316 218461730 263439145 291710663 436923460 526878290 546154325 583421326 895693093 1053756580 1092308650 1166842652 1317195725 1458553315 1791386186 2184617300 2634391450 2917106630 3582772372 4478465465 4959081271 5268782900 5834213260 7292766575 8956930930 9918162542 11960137183 14585533150 17913861860 19836325084 22392327325 23920274366 24795406355 29171066300 44784654650 47840548732 49590812710 59800685915 89569309300 99181625420 119601371830 123977031775 203322332111 239202743660 247954063550 299003429575 406644664222 495908127100 598006859150 813289328444 1016611660555 1196013718300 2033223321110 4066446642220 5083058302775 10166116605550 20332233211100