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20000240313100 = 22521773792040029
BaseRepresentation
bin1001000110000101010110…
…01110000010001100001100
32121211000010010122200020221
410203002223032002030030
510110140443010004400
6110311552240521124
74132653412450105
oct443025316021414
977730103580227
1020000240313100
116411066284903
1222b02200201a4
13b21026014238
144d20341353ac
1524a3bb004c1a
hex1230ab38230c

20000240313100 has 144 divisors (see below), whose sum is σ = 47172674505600. Its totient is φ = 7332350238720.

The previous prime is 20000240313047. The next prime is 20000240313107. The reversal of 20000240313100 is 131304200002.

It is a happy number.

It is a super-2 number, since 2×200002403131002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20000240313107) 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 47 ways as a sum of consecutive naturals, for example, 8783886 + ... + 10823914.

It is an arithmetic number, because the mean of its divisors is an integer number (327588017400).

Almost surely, 220000240313100 is an apocalyptic number.

20000240313100 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 20000240313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23586337252800).

20000240313100 is an abundant number, since it is smaller than the sum of its proper divisors (27172434192500).

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

20000240313100 is a wasteful number, since it uses less digits than its factorization.

20000240313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040212 (or 2040205 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20000240313100 its reverse (131304200002), we get a palindrome (20131544513102).

The spelling of 20000240313100 in words is "twenty trillion, two hundred forty million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 79 85 100 146 158 170 292 316 340 365 395 425 730 790 850 1241 1343 1460 1580 1700 1825 1975 2482 2686 3650 3950 4964 5372 5767 6205 6715 7300 7900 11534 12410 13430 23068 24820 26860 28835 31025 33575 57670 62050 67150 98039 115340 124100 134300 144175 196078 288350 392156 490195 576700 980390 1960780 2040029 2450975 4080058 4901950 8160116 9803900 10200145 20400290 34680493 40800580 51000725 69360986 102001450 138721972 148922117 161162291 173402465 204002900 297844234 322324582 346804930 595688468 644649164 693609860 744610585 805811455 867012325 1489221170 1611622910 1734024650 2531675989 2739758947 2978442340 3223245820 3468049300 3723052925 4029057275 5063351978 5479517894 7446105850 8058114550 10126703956 10959035788 11764847243 12658379945 13698794735 14892211700 16116229100 23529694486 25316759890 27397589470 47059388972 50633519780 54795178940 58824236215 63291899725 68493973675 117648472430 126583799450 136987947350 200002403131 235296944860 253167598900 273975894700 294121181075 400004806262 588242362150 800009612524 1000012015655 1176484724300 2000024031310 4000048062620 5000060078275 10000120156550 20000240313100