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101211202120 = 2357677533927
BaseRepresentation
bin101111001000010101…
…0000110001001001000
3100200020120201210012111
41132100222012021020
53124240031431440
6114255031152104
710212052011010
oct1362052061110
9320216653174
10101211202120
1139a180a3196
1217747515634
13970c7269a2
144c81c68c40
1529757394ea
hex1790a86248

101211202120 has 64 divisors (see below), whose sum is σ = 260642292480. Its totient is φ = 34649661696.

The previous prime is 101211202093. The next prime is 101211202121. The reversal of 101211202120 is 21202112101.

Adding to 101211202120 its reverse (21202112101), we get a palindrome (122413314221).

It is a super-3 number, since 3×1012112021203 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101211202120.

It is not an unprimeable number, because it can be changed into a prime (101211202121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77404 + ... + 456523.

It is an arithmetic number, because the mean of its divisors is an integer number (4072535820).

Almost surely, 2101211202120 is an apocalyptic number.

101211202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211202120 is an abundant number, since it is smaller than the sum of its proper divisors (159431090360).

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

101211202120 is a wasteful number, since it uses less digits than its factorization.

101211202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534622 (or 534618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 101211202120 in words is "one hundred one billion, two hundred eleven million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 677 1354 2708 3385 4739 5416 6770 9478 13540 18956 23695 27080 37912 47390 94780 189560 533927 1067854 2135708 2669635 3737489 4271416 5339270 7474978 10678540 14949956 18687445 21357080 29899912 37374890 74749780 149499560 361468579 722937158 1445874316 1807342895 2530280053 2891748632 3614685790 5060560106 7229371580 10121120212 12651400265 14458743160 20242240424 25302800530 50605601060 101211202120