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221002222201020 = 2232513372552578219
BaseRepresentation
bin110010010000000000010110…
…111100101110100010111100
31001222111121100211222111102200
4302100000112330232202330
5212431400022340413040
62102011004055351500
764356612042441561
oct6220002674564274
91058447324874380
10221002222201020
1164466574a09847
1220953865082590
139641560043ca0
143c807c94a4868
151a83b957e1630
hexc90016f2e8bc

221002222201020 has 144 divisors (see below), whose sum is σ = 741452500719840. Its totient is φ = 52930261928448.

The previous prime is 221002222201001. The next prime is 221002222201021. The reversal of 221002222201020 is 20102222200122.

221002222201020 is a `hidden beast` number, since 2 + 210 + 0 + 222 + 220 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221002222200984 and 221002222201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002222201021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276202530 + ... + 1276375689.

Almost surely, 2221002222201020 is an apocalyptic number.

221002222201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002222201020 is an abundant number, since it is smaller than the sum of its proper divisors (520450278518820).

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

221002222201020 is a wasteful number, since it uses less digits than its factorization.

221002222201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552578284 (or 2552578279 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221002222201020 its reverse (20102222200122), we get a palindrome (241104444401142).

The spelling of 221002222201020 in words is "two hundred twenty-one trillion, two billion, two hundred twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 962 1110 1170 1332 1443 1665 1924 2220 2340 2405 2886 3330 4329 4810 5772 6660 7215 8658 9620 14430 17316 21645 28860 43290 86580 2552578219 5105156438 7657734657 10210312876 12762891095 15315469314 22973203971 25525782190 30630938628 33183516847 38288673285 45946407942 51051564380 66367033694 76577346570 91892815884 94445394103 99550550541 114866019855 132734067388 153154693140 165917584235 188890788206 199101101082 229732039710 283336182309 298651651623 331835168470 377781576412 398202202164 459464079420 472226970515 497752752705 566672364618 597303303246 663670336940 850008546927 944453941030 995505505410 1133344729236 1194606606492 1227790123339 1416680911545 1493258258115 1700017093854 1888907882060 1991011010820 2455580246678 2833361823090 2986516516230 3400034187708 3683370370017 4250042734635 4911160493356 5666723646180 5973033032460 6138950616695 7366740740034 8500085469270 11050111110051 12277901233390 14733481480068 17000170938540 18416851850085 22100222220102 24555802466780 36833703700170 44200444440204 55250555550255 73667407400340 110501111100510 221002222201020