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210021021020120 = 23541997648119819
BaseRepresentation
bin101111110000001101010100…
…010110100110111111011000
31000112121210222001121202221112
4233300031110112212333120
5210011441022340120440
62022402154115555452
762144342454465062
oct5760152426467730
91015553861552845
10210021021020120
1160a12462146972
121b67b592bbbb88
139025b884aba3b
1439c1100898732
1519431de6d2965
hexbf03545a6fd8

210021021020120 has 128 divisors (see below), whose sum is σ = 484657589505600. Its totient is φ = 81860452761600.

The previous prime is 210021021020119. The next prime is 210021021020123. The reversal of 210021021020120 is 21020120120012.

It is a junction number, because it is equal to n+sod(n) for n = 210021021020095 and 210021021020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021021020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10596943571 + ... + 10596963389.

Almost surely, 2210021021020120 is an apocalyptic number.

210021021020120 is a gapful number since it is divisible by the number (20) 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 210021021020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242328794752800).

210021021020120 is an abundant number, since it is smaller than the sum of its proper divisors (274636568485480).

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

210021021020120 is a wasteful number, since it uses less digits than its factorization.

210021021020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27349 (or 27345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210021021020120 its reverse (21020120120012), we get a palindrome (231041141140132).

The spelling of 210021021020120 in words is "two hundred ten trillion, twenty-one billion, twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 997 1640 1994 3988 4985 6481 7976 9970 12962 19819 19940 25924 32405 39638 39880 40877 51848 64810 79276 81754 99095 129620 158552 163508 198190 204385 259240 265721 327016 396380 408770 531442 792760 812579 817540 1062884 1328605 1625158 1635080 2125768 2657210 3250316 4062895 5314420 6461557 6500632 8125790 10628840 12923114 16251580 19759543 25846228 32307785 32503160 39519086 51692456 64615570 79038172 98797715 128446939 129231140 158076344 197595430 256893878 258462280 264923837 395190860 513787756 529847674 642234695 790381720 810141263 1027575512 1059695348 1284469390 1324619185 1620282526 2119390696 2568938780 2649238370 3240565052 4050706315 5137877560 5266324499 5298476740 6481130104 8101412630 10532648998 10596953480 16202825260 21065297996 26331622495 32405650520 42130595992 52663244990 105326489980 128061598183 210652979960 256123196366 512246392732 640307990915 1024492785464 1280615981830 2561231963660 5122463927320 5250525525503 10501051051006 21002102102012 26252627627515 42004204204024 52505255255030 105010510510060 210021021020120