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5220115222100 = 22521773227185303
BaseRepresentation
bin100101111110110011100…
…0111010000111001010100
3200111001000210201222011112
41023331213013100321110
51141011243444101400
615034030545354152
71046066215164422
oct113754707207124
920431023658145
105220115222100
111732924a55859
1270383a038958
132bb34090130c
14140925184112
1590bc1ac1835
hex4bf671d0e54

5220115222100 has 144 divisors (see below), whose sum is σ = 12211910137728. Its totient is φ = 1929749852160.

The previous prime is 5220115222081. The next prime is 5220115222111. The reversal of 5220115222100 is 12225110225.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28078049 + ... + 28263351.

It is an arithmetic number, because the mean of its divisors is an integer number (84804931512).

Almost surely, 25220115222100 is an apocalyptic number.

5220115222100 is a gapful number since it is divisible by the number (50) 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 5220115222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6105955068864).

5220115222100 is an abundant number, since it is smaller than the sum of its proper divisors (6991794915628).

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

5220115222100 is a wasteful number, since it uses less digits than its factorization.

5220115222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185634 (or 185627 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 5220115222100 in words is "five trillion, two hundred twenty billion, one hundred fifteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 85 100 146 170 227 292 340 365 425 454 730 850 908 1135 1241 1460 1700 1825 2270 2482 3650 3859 4540 4964 5675 6205 7300 7718 11350 12410 15436 16571 19295 22700 24820 31025 33142 38590 62050 66284 77180 82855 96475 124100 165710 185303 192950 281707 331420 370606 385900 414275 563414 741212 828550 926515 1126828 1408535 1657100 1853030 2817070 3150151 3706060 4632575 5634140 6300302 7042675 9265150 12600604 13527119 14085350 15750755 18530300 27054238 28170700 31501510 42063781 54108476 63003020 67635595 78753775 84127562 135271190 157507550 168255124 210318905 229961023 270542380 315015100 338177975 420637810 459922046 676355950 715084277 841275620 919844092 1051594525 1149805115 1352711900 1430168554 2103189050 2299610230 2860337108 3070656013 3575421385 4206378100 4599220460 5749025575 6141312026 7150842770 11498051150 12282624052 14301685540 15353280065 17877106925 22996102300 30706560130 35754213850 52201152221 61413120260 71508427700 76766400325 104402304442 153532800650 208804608884 261005761105 307065601300 522011522210 1044023044420 1305028805525 2610057611050 5220115222100