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202121121120 = 2535421085669
BaseRepresentation
bin1011110000111101011…
…0111000110101100000
3201022201011112210122220
42330033112320311200
511302421001333440
6232504141031040
720413515116412
oct2741726706540
9638634483586
10202121121120
11787a0115966
1233209b55480
13160a18c3829
149ad5aa89b2
1553ce7ae8d0
hex2f0f5b8d60

202121121120 has 48 divisors (see below), whose sum is σ = 636681533040. Its totient is φ = 53898965504.

The previous prime is 202121121109. The next prime is 202121121131. The reversal of 202121121120 is 21121121202.

It is an interprime number because it is at equal distance from previous prime (202121121109) and next prime (202121121131).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202121121120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210542355 + ... + 210543314.

It is an arithmetic number, because the mean of its divisors is an integer number (13264198605).

Almost surely, 2202121121120 is an apocalyptic number.

202121121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121121120 is an abundant number, since it is smaller than the sum of its proper divisors (434560411920).

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

202121121120 is a wasteful number, since it uses less digits than its factorization.

202121121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421085687 (or 421085679 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202121121120 its reverse (21121121202), we get a palindrome (223242242322).

The spelling of 202121121120 in words is "two hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 421085669 842171338 1263257007 1684342676 2105428345 2526514014 3368685352 4210856690 5053028028 6316285035 6737370704 8421713380 10106056056 12632570070 13474741408 16843426760 20212112112 25265140140 33686853520 40424224224 50530280280 67373707040 101060560560 202121121120