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207121537000 = 23537139212869
BaseRepresentation
bin1100000011100101100…
…1111101011111101000
3201210121122201020201001
43000321121331133220
511343141103141000
6235052245204344
720651444005360
oct3007131753750
9653548636631
10207121537000
117a926787374
12341847006b4
13166ba8697b1
14a04bc379a0
1555c379946a
hex303967d7e8

207121537000 has 128 divisors (see below), whose sum is σ = 557889696000. Its totient is φ = 70501881600.

The previous prime is 207121536989. The next prime is 207121537001. The reversal of 207121537000 is 735121702.

207121537000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 207121537000.

It is not an unprimeable number, because it can be changed into a prime (207121537001) 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, 866566 + ... + 1079434.

It is an arithmetic number, because the mean of its divisors is an integer number (4358513250).

Almost surely, 2207121537000 is an apocalyptic number.

207121537000 is a gapful number since it is divisible by the number (20) 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 207121537000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278944848000).

207121537000 is an abundant number, since it is smaller than the sum of its proper divisors (350768159000).

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

207121537000 is a wasteful number, since it uses less digits than its factorization.

207121537000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213036 (or 213022 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

Adding to 207121537000 its reverse (735121702), we get a palindrome (207856658702).

The spelling of 207121537000 in words is "two hundred seven billion, one hundred twenty-one million, five hundred thirty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 139 140 175 200 250 278 280 350 500 556 695 700 875 973 1000 1112 1390 1400 1750 1946 2780 3475 3500 3892 4865 5560 6950 7000 7784 9730 13900 17375 19460 24325 27800 34750 38920 48650 69500 97300 121625 139000 194600 212869 243250 425738 486500 851476 973000 1064345 1490083 1702952 2128690 2980166 4257380 5321725 5960332 7450415 8514760 10643450 11920664 14900830 21286900 26608625 29588791 29801660 37252075 42573800 53217250 59177582 59603320 74504150 106434500 118355164 147943955 149008300 186260375 207121537 212869000 236710328 295887910 298016600 372520750 414243074 591775820 739719775 745041500 828486148 1035607685 1183551640 1479439550 1490083000 1656972296 2071215370 2958879100 3698598875 4142430740 5178038425 5917758200 7397197750 8284861480 10356076850 14794395500 20712153700 25890192125 29588791000 41424307400 51780384250 103560768500 207121537000