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202021020201 = 3711133715112041
BaseRepresentation
bin1011110000100101100…
…1000010001000101001
3201022110012012011000110
42330021121002020221
511302214340121301
6232450203324533
720411161224120
oct2741131021051
9638405164013
10202021020201
1178749665630
12331a0520749
1316086c46110
149ac668cab7
1553c5ada0d6
hex2f09642229

202021020201 has 128 divisors (see below), whose sum is σ = 373925486592. Its totient is φ = 93623040000.

The previous prime is 202021020199. The next prime is 202021020211. The reversal of 202021020201 is 102020120202.

It is not a de Polignac number, because 202021020201 - 21 = 202021020199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202021020211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16771741 + ... + 16783781.

It is an arithmetic number, because the mean of its divisors is an integer number (2921292864).

Almost surely, 2202021020201 is an apocalyptic number.

202021020201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202021020201 is a deficient number, since it is larger than the sum of its proper divisors (171904466391).

202021020201 is a wasteful number, since it uses less digits than its factorization.

202021020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12263.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202021020201 its reverse (102020120202), we get a palindrome (304041140403).

It can be divided in two parts, 20202 and 1020201, that added together give a triangular number (1040403 = T1442).

The spelling of 202021020201 in words is "two hundred two billion, twenty-one million, twenty thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 151 231 259 273 407 429 453 481 777 1001 1057 1221 1443 1661 1963 2849 3003 3171 3367 4983 5291 5587 5889 8547 10101 11627 12041 13741 15873 16761 21593 34881 36123 37037 39109 41223 61457 64779 72631 84287 111111 117327 132451 151151 156533 184371 217893 252861 397353 430199 445517 453453 469599 508417 798941 927157 1095731 1290597 1336551 1525251 1721863 1818191 2396823 2781471 3118619 3287193 4900687 5165589 5454573 5592587 5791721 9355857 12053041 12727337 14702061 16777761 17375163 20000101 23636483 34304809 36159123 38182011 40542047 60000303 63708931 67273067 70909449 102914427 121626141 140000707 165455381 191126793 201819201 260001313 420002121 445962517 470911469 496366143 740003737 780003939 874549871 1337887551 1412734407 1820009191 2220011211 2623649613 5180026159 5460027573 6121849097 9620048581 15540078477 18365547291 28860145743 67340340067 202021020201