Search a number
-
+
213100244033100 = 223529713155901011
BaseRepresentation
bin110000011101000001000100…
…010110001101111001001100
31000221112011222101222002120120
4300131001010112031321030
5210412413244433024400
62033120522311344540
762612661463315404
oct6035010426157114
91027464871862516
10213100244033100
116199a340276896
121ba98308682150
1391ba36118a4c8
143a8a16d271804
15199835e0b6ca0
hexc1d04458de4c

213100244033100 has 144 divisors (see below), whose sum is σ = 627681606389376. Its totient is φ = 55811568384000.

The previous prime is 213100244033093. The next prime is 213100244033101. The reversal of 213100244033100 is 1330442001312.

It is a happy number.

It is a super-2 number, since 2×2131002440331002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213100244033101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24138406 + ... + 31762605.

Almost surely, 2213100244033100 is an apocalyptic number.

213100244033100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100244033100 is an abundant number, since it is smaller than the sum of its proper divisors (414581362356276).

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

213100244033100 is a wasteful number, since it uses less digits than its factorization.

213100244033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55901256 (or 55901249 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213100244033100 its reverse (1330442001312), we get a palindrome (214430686034412).

The spelling of 213100244033100 in words is "two hundred thirteen trillion, one hundred billion, two hundred forty-four million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 131 150 194 262 291 300 388 393 485 524 582 655 786 970 1164 1310 1455 1572 1940 1965 2425 2620 2910 3275 3930 4850 5820 6550 7275 7860 9700 9825 12707 13100 14550 19650 25414 29100 38121 39300 50828 63535 76242 127070 152484 190605 254140 317675 381210 635350 762420 953025 1270700 1906050 3812100 55901011 111802022 167703033 223604044 279505055 335406066 559010110 670812132 838515165 1118020220 1397525275 1677030330 2795050550 3354060660 4192575825 5422398067 5590101100 7323032441 8385151650 10844796134 14646064882 16267194201 16770303300 21689592268 21969097323 27111990335 29292129764 32534388402 36615162205 43938194646 54223980670 65068776804 73230324410 81335971005 87876389292 108447961340 109845486615 135559951675 146460648820 162671942010 183075811025 219690973230 271119903350 325343884020 366151622050 406679855025 439381946460 542239806700 549227433075 710334146777 732303244100 813359710050 1098454866150 1420668293554 1626719420100 2131002440331 2196909732300 2841336587108 3551670733885 4262004880662 7103341467770 8524009761324 10655012201655 14206682935540 17758353669425 21310024403310 35516707338850 42620048806620 53275061008275 71033414677700 106550122016550 213100244033100