Search a number
-
+
5315210055300 = 22352761208311177
BaseRepresentation
bin100110101011000101100…
…1101010000111010000100
3200211010111010110000112210
41031112023031100322010
51144041022233232200
615145435045543420
71056003601011165
oct115261315207204
920733433400483
105315210055300
11176a1935664a2
1271a159114b70
132c72b7106ca2
1414538698b76c
15933da388650
hex4d58b350e84

5315210055300 has 144 divisors (see below), whose sum is σ = 15407653972032. Its totient is φ = 1414720665600.

The previous prime is 5315210055299. The next prime is 5315210055301. The reversal of 5315210055300 is 35500125135.

It is an interprime number because it is at equal distance from previous prime (5315210055299) and next prime (5315210055301).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5315210055301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475543312 + ... + 475554488.

It is an arithmetic number, because the mean of its divisors is an integer number (106997597028).

Almost surely, 25315210055300 is an apocalyptic number.

5315210055300 is a gapful number since it is divisible by the number (50) 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 5315210055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703826986016).

5315210055300 is an abundant number, since it is smaller than the sum of its proper divisors (10092443916732).

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

5315210055300 is a wasteful number, since it uses less digits than its factorization.

5315210055300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14038 (or 14031 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 5315210055300 in words is "five trillion, three hundred fifteen billion, two hundred ten million, fifty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 761 1522 2083 2283 3044 3805 4166 4566 6249 7610 8332 9132 10415 11177 11415 12498 15220 19025 20830 22354 22830 24996 31245 33531 38050 41660 44708 45660 52075 55885 57075 62490 67062 76100 104150 111770 114150 124980 134124 156225 167655 208300 223540 228300 279425 312450 335310 558850 624900 670620 838275 1117700 1585163 1676550 3170326 3353100 4755489 6340652 7925815 8505697 9510978 15851630 17011394 19021956 23281691 23777445 25517091 31703260 34022788 39629075 42528485 46563382 47554890 51034182 69845073 79258150 85056970 93126764 95109780 102068364 116408455 118887225 127585455 139690146 158516300 170113940 212642425 232816910 237774450 255170910 279380292 349225365 425284850 465633820 475548900 510341820 582042275 637927275 698450730 850569700 1164084550 1275854550 1396901460 1746126825 2328169100 2551709100 3492253650 6984507300 17717366851 35434733702 53152100553 70869467404 88586834255 106304201106 177173668510 212608402212 265760502765 354347337020 442934171275 531521005530 885868342550 1063042011060 1328802513825 1771736685100 2657605027650 5315210055300