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10000301131120 = 2451920993134419
BaseRepresentation
bin1001000110000110000001…
…1001011000010101110000
31022102000112011212022001211
42101201200121120111300
52302321104042143440
633134024103205504
72051332533044506
oct221414031302560
938360464768054
1010000301131120
113206116310313
121156160746894
13577041661111
14268035118676
151251e65c6eea
hex91860658570

10000301131120 has 80 divisors (see below), whose sum is σ = 24486089040000. Its totient is φ = 3787781163264.

The previous prime is 10000301131091. The next prime is 10000301131123. The reversal of 10000301131120 is 2113110300001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10000301131120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000301131123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1623271 + ... + 4757689.

It is an arithmetic number, because the mean of its divisors is an integer number (306076113000).

Almost surely, 210000301131120 is an apocalyptic number.

10000301131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000301131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12243044520000).

10000301131120 is an abundant number, since it is smaller than the sum of its proper divisors (14485787908880).

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

10000301131120 is a wasteful number, since it uses less digits than its factorization.

10000301131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136550 (or 3136544 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10000301131120 its reverse (2113110300001), we get a palindrome (12113411431121).

The spelling of 10000301131120 in words is "ten trillion, three hundred one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2099 4198 8396 10495 16792 20990 33584 39881 41980 79762 83960 159524 167920 199405 319048 398810 638096 797620 1595240 3134419 3190480 6268838 12537676 15672095 25075352 31344190 50150704 59553961 62688380 119107922 125376760 238215844 250753520 297769805 476431688 595539610 952863376 1191079220 2382158440 4764316880 6579145481 13158290962 26316581924 32895727405 52633163848 65791454810 105266327696 125003764139 131582909620 250007528278 263165819240 500015056556 526331638480 625018820695 1000030113112 1250037641390 2000060226224 2500075282780 5000150565560 10000301131120