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101000212111220 = 22529317235531077
BaseRepresentation
bin10110111101101111110001…
…110000111101111101110100
3111020121112012102212022122212
4112331233301300331331310
5101214241413300024340
6554450505031312552
730163011260620322
oct2675576160757564
9436545172768585
10101000212111220
112a1aaa497373a4
12b3b262681b758
134448382349586
141ad26174b0d12
15ba23a9983a65
hex5bdbf1c3df74

101000212111220 has 24 divisors (see below), whose sum is σ = 212824337751144. Its totient is φ = 40262200593536.

The previous prime is 101000212111207. The next prime is 101000212111241. The reversal of 101000212111220 is 22111212000101.

It can be written as a sum of positive squares in 4 ways, for example, as 14403861838564 + 86596350272656 = 3795242^2 + 9305716^2 .

It is a super-2 number, since 2×1010002121112202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101000212111195 and 101000212111204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8617759679 + ... + 8617771398.

It is an arithmetic number, because the mean of its divisors is an integer number (8867680739631).

Almost surely, 2101000212111220 is an apocalyptic number.

101000212111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000212111220 is an abundant number, since it is smaller than the sum of its proper divisors (111824125639924).

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

101000212111220 is a wasteful number, since it uses less digits than its factorization.

101000212111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17235531379 (or 17235531377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101000212111220 its reverse (22111212000101), we get a palindrome (123111424111321).

The spelling of 101000212111220 in words is "one hundred one trillion, two hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 17235531077 34471062154 68942124308 86177655385 172355310770 344710621540 5050010605561 10100021211122 20200042422244 25250053027805 50500106055610 101000212111220