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10210201101102 = 2329319734756237
BaseRepresentation
bin1001010010010011111101…
…1010001110001100101110
31100011002022110200120022010
42110210333122032030232
52314240442440213402
633414300204102050
72102443205254662
oct224447732161456
940132273616263
1010210201101102
113287138384492
12118a97b834926
13590a82a163a2
14274267d608a2
1512a8cdc4aa6c
hex9493f68e32e

10210201101102 has 128 divisors (see below), whose sum is σ = 22094677463040. Its totient is φ = 3138130759680.

The previous prime is 10210201101097. The next prime is 10210201101103. The reversal of 10210201101102 is 20110110201201.

It is a super-2 number, since 2×102102011011022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210201101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181528528 + ... + 181584764.

It is an arithmetic number, because the mean of its divisors is an integer number (172614667680).

Almost surely, 210210201101102 is an apocalyptic number.

10210201101102 is an abundant number, since it is smaller than the sum of its proper divisors (11884476361938).

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

10210201101102 is a wasteful number, since it uses less digits than its factorization.

10210201101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56746.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210201101102 its reverse (20110110201201), we get a palindrome (30320311302303).

The spelling of 10210201101102 in words is "ten trillion, two hundred ten billion, two hundred one million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 29 31 58 62 87 93 97 174 186 194 291 347 582 694 899 1041 1798 2082 2697 2813 3007 5394 5626 6014 8439 9021 10063 10757 16878 18042 20126 21514 30189 32271 33659 56237 60378 64542 67318 87203 100977 112474 168711 174406 201954 261609 311953 337422 523218 623906 935859 976111 1043429 1630873 1743347 1871718 1952222 2086858 2928333 3130287 3261746 3486694 4892619 5230041 5454989 5856666 6260574 9785238 10460082 10909978 16364967 19514239 30259441 32729934 39028478 50557063 58542717 60518882 90778323 101114126 117085434 151671189 158194681 169104659 181556646 303342378 316389362 338209318 474584043 507313977 565912931 604941409 949168086 1014627954 1131825862 1209882818 1697738793 1814824227 1892881183 3395477586 3629648454 3785762366 4904035111 5678643549 9808070222 11357287098 14712105333 17543300861 29424210666 35086601722 52629902583 54893554307 58679316673 105259805166 109787108614 117358633346 164680662921 176037950019 329361325842 352075900038 1701700183517 3403400367034 5105100550551 10210201101102