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20000001300 = 223521074191487
BaseRepresentation
bin10010101000000101…
…111100110100010100
31220121211112100000220
4102220011330310110
5311430000020200
613104325234340
71305422130456
oct225005746424
956554470026
1020000001300
11853352aaa4
123a61b629b0
131b696a83c6
14d7a2c62d6
157c0c6b4a0
hex4a817cd14

20000001300 has 144 divisors (see below), whose sum is σ = 58586250240. Its totient is φ = 5267335040.

The previous prime is 20000001223. The next prime is 20000001311. The reversal of 20000001300 is 310000002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 13449157 + ... + 13450643.

It is an arithmetic number, because the mean of its divisors is an integer number (406848960).

Almost surely, 220000001300 is an apocalyptic number.

20000001300 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 20000001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29293125120).

20000001300 is an abundant number, since it is smaller than the sum of its proper divisors (38586248940).

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

20000001300 is a wasteful number, since it uses less digits than its factorization.

20000001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 20000001300 its reverse (310000002), we get a palindrome (20310001302).

The spelling of 20000001300 in words is "twenty billion, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 419 428 535 642 838 1070 1257 1284 1487 1605 1676 2095 2140 2514 2675 2974 3210 4190 4461 5028 5350 5948 6285 6420 7435 8025 8380 8922 10475 10700 12570 14870 16050 17844 20950 22305 25140 29740 31425 32100 37175 41900 44610 44833 62850 74350 89220 89666 111525 125700 134499 148700 159109 179332 223050 224165 268998 318218 446100 448330 477327 537996 623053 636436 672495 795545 896660 954654 1120825 1246106 1344990 1591090 1869159 1909308 2241650 2386635 2492212 2689980 3115265 3182180 3362475 3738318 3977725 4483300 4773270 6230530 6724950 7476636 7955450 9345795 9546540 11933175 12461060 13449900 15576325 15910900 18691590 23866350 31152650 37383180 46728975 47732700 62305300 66666671 93457950 133333342 186915900 200000013 266666684 333333355 400000026 666666710 800000052 1000000065 1333333420 1666666775 2000000130 3333333550 4000000260 5000000325 6666667100 10000000650 20000001300