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101202021020 = 225171573595281
BaseRepresentation
bin101111001000000011…
…1000100101010011100
3100200012221110100002202
41132100013010222130
53124230204133040
6114254102311032
710211610661652
oct1362007045234
9320187410082
10101202021020
1139a129a2301
1217744428478
13970a860a99
144c80958dd2
152974a24015
hex17901c4a9c

101202021020 has 96 divisors (see below), whose sum is σ = 227132760960. Its totient is φ = 37744312320.

The previous prime is 101202020981. The next prime is 101202021121. The reversal of 101202021020 is 20120202101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101202020992 and 101202021010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19160780 + ... + 19166060.

It is an arithmetic number, because the mean of its divisors is an integer number (2365966260).

Almost surely, 2101202021020 is an apocalyptic number.

101202021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113566380480).

101202021020 is an abundant number, since it is smaller than the sum of its proper divisors (125930739940).

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

101202021020 is a wasteful number, since it uses less digits than its factorization.

101202021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101202021020 its reverse (20120202101), we get a palindrome (121322223121).

The spelling of 101202021020 in words is "one hundred one billion, two hundred two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 359 628 718 785 1436 1570 1795 2669 3140 3590 5281 5338 6103 7180 10562 10676 12206 13345 21124 24412 26405 26690 30515 52810 53380 56363 61030 89777 105620 112726 122060 179554 225452 281815 359108 448885 563630 829117 897770 958171 1127260 1658234 1795540 1895879 1916342 3316468 3791758 3832684 4145585 4790855 7583516 8291170 9479395 9581710 14094989 16582340 18958790 19163420 28189978 32229943 37917580 56379956 64459886 70474945 128919772 140949890 161149715 281899780 297653003 322299430 595306006 644598860 1190612012 1488265015 2976530030 5060101051 5953060060 10120202102 20240404204 25300505255 50601010510 101202021020