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202220111212002 = 232132276016334439
BaseRepresentation
bin101101111110101100001001…
…111001010010110111100010
3222112000001110020120000110200
4231332230021321102313202
5203001133241432241002
61554030345301410030
760410630604253662
oct5576541171226742
9875001406500420
10202220111212002
1159485081a035a4
121a81b742109916
1388ab375587c60
1437d171154a1a2
15185a320dc8b1c
hexb7eb09e52de2

202220111212002 has 96 divisors (see below), whose sum is σ = 474714183565440. Its totient is φ = 61844385081600.

The previous prime is 202220111211997. The next prime is 202220111212003. The reversal of 202220111212002 is 200212111022202.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (202220111212003) 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, 28756699 + ... + 35091137.

It is an arithmetic number, because the mean of its divisors is an integer number (4944939412140).

Almost surely, 2202220111212002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202220111212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237357091782720).

202220111212002 is an abundant number, since it is smaller than the sum of its proper divisors (272494072353438).

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

202220111212002 is a wasteful number, since it uses less digits than its factorization.

202220111212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335288 (or 6335285 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202220111212002 its reverse (200212111022202), we get a palindrome (402432222234204).

The spelling of 202220111212002 in words is "two hundred two trillion, two hundred twenty billion, one hundred eleven million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 227 234 454 601 681 1202 1362 1803 2043 2951 3606 4086 5409 5902 7813 8853 10818 15626 17706 23439 26559 46878 53118 70317 136427 140634 272854 409281 818562 1227843 1773551 2455686 3547102 5320653 6334439 10641306 12668878 15961959 19003317 31923918 38006634 57009951 82347707 114019902 164695414 247043121 494086242 741129363 1437917653 1482258726 2875835306 3806997839 4313752959 7613995678 8627505918 11420993517 12941258877 18692929489 22841987034 25882517754 34262980551 37385858978 49490971907 56078788467 68525961102 98981943814 112157576934 148472915721 168236365401 296945831442 336472730802 445418747163 864188509453 890837494326 1728377018906 2592565528359 5185131056718 7777696585077 11234450622889 15555393170154 22468901245778 33703351868667 67406703737334 101110055606001 202220111212002