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20105155030400 = 275211571169177
BaseRepresentation
bin1001001001001000110001…
…00111111010110110000000
32122012000220211012112012022
410210210120213322312000
510113400324141433100
6110432103011221012
74143356325025346
oct444443047726600
978160824175168
1020105155030400
116451603968840
12230861b8a7768
13b2aba5ac280b
144d7147bb7996
1524ceab94be85
hex1249189fad80

20105155030400 has 96 divisors (see below), whose sum is σ = 54181108225080. Its totient is φ = 7310965452800.

The previous prime is 20105155030357. The next prime is 20105155030409. The reversal of 20105155030400 is 403055150102.

It is a self number, because there is not a number n which added to its sum of digits gives 20105155030400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20105155030409) 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 11 ways as a sum of consecutive naturals, for example, 285549389 + ... + 285619788.

Almost surely, 220105155030400 is an apocalyptic number.

20105155030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20105155030400 is an abundant number, since it is smaller than the sum of its proper divisors (34075953194680).

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

20105155030400 is a wasteful number, since it uses less digits than its factorization.

20105155030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571169212 (or 571169195 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 20105155030400 in words is "twenty trillion, one hundred five billion, one hundred fifty-five million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 571169177 1142338354 2284676708 2855845885 4569353416 5711691770 6282860947 9138706832 11423383540 12565721894 14279229425 18277413664 22846767080 25131443788 28558458850 31414304735 36554827328 45693534160 50262887576 57116917700 62828609470 73109654656 91387068320 100525775152 114233835400 125657218940 157071523675 182774136640 201051550304 228467670800 251314437880 314143047350 365548273280 402103100608 456935341600 502628875760 628286094700 804206201216 913870683200 1005257751520 1256572189400 1827741366400 2010515503040 2513144378800 4021031006080 5026288757600 10052577515200 20105155030400