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20300414004 = 223213297121067
BaseRepresentation
bin10010111001111111…
…111011110000110100
31221101202210212210100
4102321333323300310
5313033401222004
613154220154100
71316030446323
oct227177736064
957352725710
1020300414004
118678066562
123b26698930
131bb69bbcc0
14da81660ba
157dc30c739
hex4b9ffbc34

20300414004 has 144 divisors (see below), whose sum is σ = 57975765120. Its totient is φ = 5945667840.

The previous prime is 20300413997. The next prime is 20300414011. The reversal of 20300414004 is 40041400302.

It is an interprime number because it is at equal distance from previous prime (20300413997) and next prime (20300414011).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 953079 + ... + 974145.

It is an arithmetic number, because the mean of its divisors is an integer number (402609480).

Almost surely, 220300414004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20300414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28987882560).

20300414004 is an abundant number, since it is smaller than the sum of its proper divisors (37675351116).

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

20300414004 is a wasteful number, since it uses less digits than its factorization.

20300414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21190 (or 21185 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20300414004 its reverse (40041400302), we get a palindrome (60341814306).

The spelling of 20300414004 in words is "twenty billion, three hundred million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 71 78 87 116 117 142 156 174 213 234 261 284 348 377 426 468 522 639 754 852 923 1044 1131 1278 1508 1846 2059 2262 2556 2769 3393 3692 4118 4524 5538 6177 6786 8236 8307 11076 12354 13572 16614 18531 21067 24708 26767 33228 37062 42134 53534 63201 74124 80301 84268 107068 126402 160602 189603 240903 252804 273871 321204 379206 481806 547742 610943 758412 821613 963612 1095484 1221886 1495757 1643226 1832829 2443772 2464839 2991514 3286452 3665658 4487271 4929678 5498487 5983028 7331316 7942259 8974542 9859356 10996974 13461813 15884518 17949084 19444841 21993948 23826777 26923626 31769036 38889682 43376953 47653554 53847252 58334523 71480331 77779364 86753906 95307108 116669046 130130859 142960662 173507812 175003569 233338092 260261718 285921324 350007138 390392577 520523436 563900389 700014276 780785154 1127800778 1561570308 1691701167 2255601556 3383402334 5075103501 6766804668 10150207002 20300414004