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2022210202120 = 235296135338089
BaseRepresentation
bin11101011011010101000…
…111101110101000001000
321011022200022021000112121
4131123111013232220020
5231112441302431440
64144553542421024
7266046153051643
oct35332507565010
97138608230477
102022210202120
1170a683a38429
12287b02131774
13118902b031c4
146dc3850aa5a
1537907ccd34a
hex1d6d51eea08

2022210202120 has 128 divisors (see below), whose sum is σ = 4785976044000. Its totient is φ = 767876014080.

The previous prime is 2022210202057. The next prime is 2022210202139. The reversal of 2022210202120 is 212020122202.

It can be written as a sum of positive squares in 16 ways, for example, as 35841305124 + 1986368896996 = 189318^2 + 1409386^2 .

It is a super-2 number, since 2×20222102021202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2022210202094 and 2022210202103.

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, 249991036 + ... + 249999124.

Almost surely, 22022210202120 is an apocalyptic number.

2022210202120 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 2022210202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392988022000).

2022210202120 is an abundant number, since it is smaller than the sum of its proper divisors (2763765841880).

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

2022210202120 is a wasteful number, since it uses less digits than its factorization.

2022210202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11723 (or 11719 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2022210202120 its reverse (212020122202), we get a palindrome (2234230324322).

The spelling of 2022210202120 in words is "two trillion, twenty-two billion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 488 580 610 1160 1220 1769 2440 3533 3538 7066 7076 8089 8845 14132 14152 16178 17665 17690 28264 32356 35330 35380 40445 64712 70660 70760 80890 102457 141320 161780 204914 215513 234581 323560 409828 431026 469162 493429 512285 819656 862052 938324 986858 1024570 1077565 1172905 1724104 1876648 1973716 2049140 2155130 2345810 2467145 3947432 4098280 4310260 4691620 4934290 6249877 8620520 9383240 9868580 12499754 14309441 19737160 24999508 28578437 28618882 31249385 49999016 57156874 57237764 62498770 71547205 114313748 114475528 124997540 142892185 143094410 228627496 249995080 285784370 286188820 571568740 572377640 828774673 1143137480 1657549346 1743284657 3315098692 3486569314 4143873365 6630197384 6973138628 8287746730 8716423285 13946277256 16575493460 17432846570 33150986920 34865693140 50555255053 69731386280 101110510106 202221020212 252776275265 404442040424 505552550530 1011105101060 2022210202120