Search a number
-
+
101202020222020 = 225172394131374847
BaseRepresentation
bin10111000000101011101110…
…011101110100010001000100
3111021022211002210102112212221
4113000223232131310101010
5101231043214134101040
6555123322151422124
730213414255352354
oct2700535635642104
9437284083375787
10101202020222020
112a2785990a1a43
12b425767984944
1344614041384a3
141adc2bd77ab64
15ba776ba1474a
hex5c0aee774444

101202020222020 has 96 divisors (see below), whose sum is σ = 234834509242368. Its totient is φ = 36439182354432.

The previous prime is 101202020221979. The next prime is 101202020222041. The reversal of 101202020222020 is 20222020202101.

It is a junction number, because it is equal to n+sod(n) for n = 101202020221985 and 101202020222003.

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, 72922237 + ... + 74297083.

It is an arithmetic number, because the mean of its divisors is an integer number (2446192804608).

Almost surely, 2101202020222020 is an apocalyptic number.

101202020222020 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 101202020222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117417254621184).

101202020222020 is an abundant number, since it is smaller than the sum of its proper divisors (133632489020348).

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

101202020222020 is a wasteful number, since it uses less digits than its factorization.

101202020222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384309 (or 1384307 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 101202020222020 its reverse (20222020202101), we get a palindrome (121424040424121).

The spelling of 101202020222020 in words is "one hundred one trillion, two hundred two billion, twenty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 9413 18826 37652 47065 94130 160021 188260 216499 320042 432998 640084 800105 865996 1082495 1374847 1600210 2164990 2749694 3200420 3680483 4329980 5499388 6874235 7360966 13748470 14721932 18402415 23372399 27496940 31621481 36804830 46744798 63242962 73609660 93489596 116861995 126485924 158107405 233723990 316214810 467447980 537565177 632429620 1075130354 2150260708 2687825885 5375651770 10751303540 12941434811 25882869622 51765739244 64707174055 129414348110 220004391787 258828696220 297653000653 440008783574 595306001306 880017567148 1100021958935 1190612002612 1488265003265 2200043917870 2976530006530 4400087835740 5060101011101 5953060013060 10120202022202 20240404044404 25300505055505 50601010111010 101202020222020