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10210312011104 = 2531711123129089
BaseRepresentation
bin1001010010010100011000…
…0001010011110101100000
31100011002121012101101012222
42110211012001103311200
52314241204333323404
633414315205210212
72102446023056522
oct224450601236540
940132535341188
1010210312011104
113287194a47847
12118a9b0a00968
13590a9c9a99ca
14274278991a12
1512a8d8857dbe
hex94946053d60

10210312011104 has 96 divisors (see below), whose sum is σ = 21061142968320. Its totient is φ = 4866514329600.

The previous prime is 10210312011103. The next prime is 10210312011131. The reversal of 10210312011104 is 40111021301201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210312011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79030592 + ... + 79159680.

It is an arithmetic number, because the mean of its divisors is an integer number (219386905920).

Almost surely, 210210312011104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210312011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530571484160).

10210312011104 is an abundant number, since it is smaller than the sum of its proper divisors (10850830957216).

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

10210312011104 is a wasteful number, since it uses less digits than its factorization.

10210312011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130324 (or 130316 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10210312011104 its reverse (40111021301201), we get a palindrome (50321333312305).

The spelling of 10210312011104 in words is "ten trillion, two hundred ten billion, three hundred twelve million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 71 124 142 248 284 496 568 992 1123 1136 2201 2246 2272 4402 4492 8804 8984 17608 17968 34813 35216 35936 69626 70432 79733 129089 139252 159466 258178 278504 318932 516356 557008 637864 1032712 1114016 1275728 2065424 2471723 2551456 4001759 4130848 4943446 8003518 9165319 9886892 16007036 18330638 19773784 32014072 36661276 39547568 64028144 73322552 79095136 128056288 144966947 146645104 284124889 289933894 293290208 568249778 579867788 1136499556 1159735576 2272999112 2319471152 4493975357 4545998224 4638942304 8987950714 9091996448 10292653237 17975901428 20585306474 35951802856 41170612948 71903605712 82341225896 143807211424 164682451792 319072250347 329364903584 638144500694 1276289001388 2552578002776 5105156005552 10210312011104