Search a number
-
+
10010011035480 = 23351031297624419
BaseRepresentation
bin1001000110101010001100…
…1001101110011101011000
31022102221120212202112210020
42101222203021232131120
52303001000311113410
633142311404150440
72052125255630541
oct221524311563530
938387525675706
1010010011035480
11320a2492a6165
121158010538420
13577c2b20a961
142686b69254c8
151255b3c80a70
hex91aa326e758

10010011035480 has 128 divisors (see below), whose sum is σ = 30345013670400. Its totient is φ = 2641378056192.

The previous prime is 10010011035467. The next prime is 10010011035481. The reversal of 10010011035480 is 8453011001001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10010011035480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010011035481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15718711 + ... + 16343129.

It is an arithmetic number, because the mean of its divisors is an integer number (237070419300).

Almost surely, 210010011035480 is an apocalyptic number.

10010011035480 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 10010011035480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172506835200).

10010011035480 is an abundant number, since it is smaller than the sum of its proper divisors (20335002634920).

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

10010011035480 is a wasteful number, since it uses less digits than its factorization.

10010011035480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625833 (or 625829 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 10010011035480 its reverse (8453011001001), we get a palindrome (18463022036481).

The spelling of 10010011035480 in words is "ten trillion, ten billion, eleven million, thirty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1297 1545 2060 2472 2594 3090 3891 4120 5188 6180 6485 7782 10376 12360 12970 15564 19455 25940 31128 38910 51880 77820 133591 155640 267182 400773 534364 624419 667955 801546 1068728 1248838 1335910 1603092 1873257 2003865 2497676 2671820 3122095 3206184 3746514 4007730 4995352 5343640 6244190 7493028 8015460 9366285 12488380 14986056 16030920 18732570 24976760 37465140 64315157 74930280 128630314 192945471 257260628 321575785 385890942 514521256 643151570 771781884 809871443 964727355 1286303140 1543563768 1619742886 1929454710 2429614329 2572606280 3239485772 3858909420 4049357215 4859228658 6478971544 7717818840 8098714430 9718457316 12148071645 16197428860 19436914632 24296143290 32394857720 48592286580 83416758629 97184573160 166833517258 250250275887 333667034516 417083793145 500500551774 667334069032 834167586290 1001001103548 1251251379435 1668335172580 2002002207096 2502502758870 3336670345160 5005005517740 10010011035480