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103022201223220 = 225236911087298171
BaseRepresentation
bin10111011011001010111001…
…101101010011100000110100
3111111202211022100002210120111
4113123022321231103200310
5102000403432003120340
61003035425035312404
730462052120525546
oct2733127155234064
9444684270083514
10103022201223220
112a90a519897514
12b67a4868ab704
134563c4b3bcb06
141b624304a9696
15bd9c9d13daea
hex5db2b9b53834

103022201223220 has 96 divisors (see below), whose sum is σ = 226288446160896. Its totient is φ = 39323804572800.

The previous prime is 103022201223187. The next prime is 103022201223251. The reversal of 103022201223220 is 22322102220301.

It is a super-2 number, since 2×1030222012232202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103022201223191 and 103022201223200.

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, 345364735 + ... + 345662905.

It is an arithmetic number, because the mean of its divisors is an integer number (2357171314176).

Almost surely, 2103022201223220 is an apocalyptic number.

103022201223220 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 103022201223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113144223080448).

103022201223220 is an abundant number, since it is smaller than the sum of its proper divisors (123266244937676).

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

103022201223220 is a wasteful number, since it uses less digits than its factorization.

103022201223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299981 (or 299979 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 103022201223220 its reverse (22322102220301), we get a palindrome (125344303443521).

The spelling of 103022201223220 in words is "one hundred three trillion, twenty-two billion, two hundred one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 691 1087 1382 2174 2764 3455 4348 5435 6910 10870 13820 15893 21740 25001 31786 50002 63572 79465 100004 125005 158930 250010 298171 317860 500020 596342 751117 1192684 1490855 1502234 2981710 3004468 3755585 5963420 6857933 7511170 13715866 15022340 17275691 27431732 34289665 34551382 68579330 69102764 86378455 137158660 172756910 206036161 324111877 345513820 412072322 648223754 824144644 1030180805 1296447508 1620559385 2060361610 3241118770 4120723220 4738831703 6482237540 7454573171 9477663406 14909146342 18955326812 23694158515 29818292684 37272865855 47388317030 74545731710 94776634060 149091463420 223961307007 447922614014 895845228028 1119806535035 2239613070070 4479226140140 5151110061161 10302220122322 20604440244644 25755550305805 51511100611610 103022201223220