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10310001321114 = 2331150939118719
BaseRepresentation
bin1001011000000111101111…
…1101110110010010011010
31100111121220201102000221000
42112001323331312102122
52322404340314233424
633532203233125430
72112605305163355
oct226017375662232
940447821360830
1010310001321114
1133154a0a67960
1211a61926b9876
1359a2c9017a01
1427901465929c
1512d2c06713c9
hex9607bf7649a

10310001321114 has 128 divisors (see below), whose sum is σ = 25052322816000. Its totient is φ = 3116950027200.

The previous prime is 10310001321073. The next prime is 10310001321127. The reversal of 10310001321114 is 41112310001301.

It is a happy number.

It is a super-2 number, since 2×103100013211142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1182470847 + ... + 1182479565.

It is an arithmetic number, because the mean of its divisors is an integer number (195721272000).

Almost surely, 210310001321114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10310001321114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12526161408000).

10310001321114 is an abundant number, since it is smaller than the sum of its proper divisors (14742321494886).

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

10310001321114 is a wasteful number, since it uses less digits than its factorization.

10310001321114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13161 (or 13155 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10310001321114 its reverse (41112310001301), we get a palindrome (51422311322415).

The spelling of 10310001321114 in words is "ten trillion, three hundred ten billion, one million, three hundred twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 509 594 1018 1527 3054 3911 4581 5599 7822 8719 9162 11198 11733 13743 16797 17438 23466 26157 27486 33594 35199 43021 50391 52314 70398 78471 86042 95909 100782 105597 129063 151173 156942 191818 211194 235413 258126 287727 302346 387189 470826 575454 774378 863181 1161567 1726362 1990699 2323134 2589543 3981398 4437971 5179086 5972097 8875942 11944194 13313913 17916291 21897689 26627826 34100009 35832582 39941739 43795378 48817681 53748873 65693067 68200018 79883478 97635362 102300027 107497746 119825217 131386134 146453043 197079201 204600054 239650434 292906086 306900081 375100099 394158402 439359129 591237603 613800162 750200198 878718258 920700243 1125300297 1182475206 1318077387 1841400486 2250600594 2636154774 3375900891 6751801782 10127702673 17356904581 20255405346 34713809162 52070713743 104141427486 156212141229 190925950391 312424282458 381851900782 468636423687 572777851173 937272847374 1145555702346 1718333553519 3436667107038 5155000660557 10310001321114