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213002202020220 = 223254953123891009
BaseRepresentation
bin110000011011100101110000…
…100101100111100101111100
31000221011210220200121210201100
4300123211300211213211330
5210404312002204121340
62033003505531013100
762602621063051224
oct6033456045474574
91027153820553640
10213002202020220
11619617aa0a2468
121ba8130659a190
1391b1038205332
143a8550c291084
151995a21be1830
hexc1b97096797c

213002202020220 has 72 divisors (see below), whose sum is σ = 646119750996720. Its totient is φ = 56799438059520.

The previous prime is 213002202020177. The next prime is 213002202020291. The reversal of 213002202020220 is 22020202200312.

213002202020220 is a `hidden beast` number, since 21 + 3 + 0 + 0 + 220 + 202 + 0 + 220 = 666.

It is a super-2 number, since 2×2130022020202202 (a number of 29 digits) contains 22 as substring.

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 = 213002202020193 and 213002202020202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3029925 + ... + 20861084.

It is an arithmetic number, because the mean of its divisors is an integer number (8973885430510).

Almost surely, 2213002202020220 is an apocalyptic number.

213002202020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213002202020220 is an abundant number, since it is smaller than the sum of its proper divisors (433117548976500).

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

213002202020220 is a wasteful number, since it uses less digits than its factorization.

213002202020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23940555 (or 23940550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 213002202020220 its reverse (22020202200312), we get a palindrome (235022404220532).

The spelling of 213002202020220 in words is "two hundred thirteen trillion, two billion, two hundred two million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 49531 99062 148593 198124 247655 297186 445779 495310 594372 742965 891558 990620 1485930 1783116 2228895 2971860 4457790 8915580 23891009 47782018 71673027 95564036 119455045 143346054 215019081 238910090 286692108 358365135 430038162 477820180 716730270 860076324 1075095405 1433460540 2150190810 4300381620 1183345566779 2366691133558 3550036700337 4733382267116 5916727833895 7100073400674 10650110101011 11833455667790 14200146801348 17750183501685 21300220202022 23666911335580 35500367003370 42600440404044 53250550505055 71000734006740 106501101010110 213002202020220