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102030133220 = 225311571935431
BaseRepresentation
bin101111100000101111…
…0000100011111100100
3100202100122200210110222
41133001132010133210
53132424203230340
6114512203503512
710241254552151
oct1370136043744
9322318623428
10102030133220
113a2a8394254
1217935827b98
1398102a75c2
144d1c921228
1529c25a08b5
hex17c17847e4

102030133220 has 96 divisors (see below), whose sum is σ = 223778236416. Its totient is φ = 39033446400.

The previous prime is 102030133087. The next prime is 102030133237. The reversal of 102030133220 is 22331030201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18783905 + ... + 18789335.

It is an arithmetic number, because the mean of its divisors is an integer number (2331023296).

Almost surely, 2102030133220 is an apocalyptic number.

102030133220 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 102030133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111889118208).

102030133220 is an abundant number, since it is smaller than the sum of its proper divisors (121748103196).

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

102030133220 is a wasteful number, since it uses less digits than its factorization.

102030133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5821 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102030133220 its reverse (22331030201), we get a palindrome (124361163421).

The spelling of 102030133220 in words is "one hundred two billion, thirty million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 157 193 310 314 386 620 628 772 785 965 1570 1930 3140 3860 4867 5431 5983 9734 10862 11966 19468 21724 23932 24335 27155 29915 30301 48670 54310 59830 60602 97340 108620 119660 121204 151505 168361 303010 336722 606020 673444 841805 852667 939331 1048183 1683610 1705334 1878662 2096366 3367220 3410668 3757324 4192732 4263335 4696655 5240915 8526670 9393310 10481830 17053340 18786620 20963660 26432677 32493673 52865354 64987346 105730708 129974692 132163385 162468365 164564731 264326770 324936730 329129462 528653540 649873460 658258924 822823655 1645647310 3291294620 5101506661 10203013322 20406026644 25507533305 51015066610 102030133220