Search a number
-
+
20314165300 = 225211131783563
BaseRepresentation
bin10010111010110100…
…011001000000110100
31221102201200112000121
4102322310121000310
5313100411242200
613155431021324
71316255361502
oct227264310064
957381615017
1020314165300
1186848a9070
123b2b20a844
131bb97c5170
14da9d05672
157dd626e1a
hex4bad19034

20314165300 has 144 divisors (see below), whose sum is σ = 54835365312. Its totient is φ = 6417561600.

The previous prime is 20314165273. The next prime is 20314165321. The reversal of 20314165300 is 356141302.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201319 + ... + 284881.

It is an arithmetic number, because the mean of its divisors is an integer number (380801148).

Almost surely, 220314165300 is an apocalyptic number.

20314165300 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 20314165300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27417682656).

20314165300 is an abundant number, since it is smaller than the sum of its proper divisors (34521200012).

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

20314165300 is a wasteful number, since it uses less digits than its factorization.

20314165300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83618 (or 83611 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 20314165300 in words is "twenty billion, three hundred fourteen million, one hundred sixty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 17 20 22 25 26 34 44 50 52 55 65 68 85 100 110 130 143 170 187 220 221 260 275 286 325 340 374 425 442 550 572 650 715 748 850 884 935 1100 1105 1300 1430 1700 1870 2210 2431 2860 3575 3740 4420 4675 4862 5525 7150 9350 9724 11050 12155 14300 18700 22100 24310 48620 60775 83563 121550 167126 243100 334252 417815 835630 919193 1086319 1420571 1671260 1838386 2089075 2172638 2841142 3676772 4178150 4345276 4595965 5431595 5682284 7102855 8356300 9191930 10863190 11949509 14205710 15626281 18383860 18467423 21726380 22979825 23899018 27157975 28411420 31252562 35514275 36934846 45959650 47798036 54315950 59747545 62505124 71028550 73869692 78131405 91919300 92337115 108631900 119495090 142057100 156262810 184674230 203141653 238990180 298737725 312525620 369348460 390657025 406283306 461685575 597475450 781314050 812566612 923371150 1015708265 1194950900 1562628100 1846742300 2031416530 4062833060 5078541325 10157082650 20314165300