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103220131020201 = 331317237310302857
BaseRepresentation
bin10111011110000011001111…
…001111100011110110101001
3111112110202012101221021102000
4113132003033033203312221
5102012124312020121301
61003310401254001213
730512260033200336
oct2736031717436651
9445422171837360
10103220131020201
112a986459021528
12b6b0905046209
134579802854890
141b6bc4965998d
15bdeed4984786
hex5de0cf3e3da9

103220131020201 has 128 divisors (see below), whose sum is σ = 184442588144640. Its totient is φ = 56400965812224.

The previous prime is 103220131020157. The next prime is 103220131020221. The reversal of 103220131020201 is 102020131022301.

103220131020201 is a `hidden beast` number, since 10 + 322 + 0 + 1 + 310 + 2 + 0 + 20 + 1 = 666.

It is not a de Polignac number, because 103220131020201 - 215 = 103220130987433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103220131020221) 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, 4867165 + ... + 15170021.

It is an arithmetic number, because the mean of its divisors is an integer number (1440957719880).

Almost surely, 2103220131020201 is an apocalyptic number.

It is an amenable number.

103220131020201 is a deficient number, since it is larger than the sum of its proper divisors (81222457124439).

103220131020201 is a wasteful number, since it uses less digits than its factorization.

103220131020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10302992 (or 10302986 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103220131020201 its reverse (102020131022301), we get a palindrome (205240262042502).

The spelling of 103220131020201 in words is "one hundred three trillion, two hundred twenty billion, one hundred thirty-one million, twenty thousand, two hundred one".

Divisors: 1 3 9 13 17 23 27 39 51 69 73 117 153 207 219 221 299 351 391 459 621 657 663 897 949 1173 1241 1679 1971 1989 2691 2847 3519 3723 5037 5083 5967 8073 8541 10557 11169 15111 15249 16133 21827 25623 28543 33507 45333 45747 48399 65481 85629 137241 145197 196443 256887 371059 435591 589329 770661 1113177 3339531 10018593 10302857 30908571 92725713 133937141 175148569 236965711 278177139 401811423 525445707 710897133 752108561 1205434269 1576337121 2132691399 2256325683 2276931397 3080554243 3616302807 4028417087 4729011363 6398074197 6768977049 6830794191 9241662729 9777411293 12085251261 12785845537 17298496903 20306931147 20492382573 27724988187 29332233879 36255753783 38357536611 51895490709 52369422131 61477147719 83174964561 87996701637 108767261349 115072609833 155686472127 157108266393 166215991981 224880459739 263990104911 294074447351 345217829499 467059416381 471324799179 498647975943 674641379217 882223342053 1413974397537 1495943927829 2023924137651 2646670026159 3822967815563 4487831783487 6071772412953 7940010078477 11468903446689 34406710340067 103220131020201