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213120341443100 = 225271342187555143
BaseRepresentation
bin110000011101010011110010…
…001111110000001000011100
31000221121002212000210022020002
4300131103302033300020130
5210413230424402134400
62033134044440513432
762614302510426440
oct6035236217601034
91027532760708202
10213120341443100
11619a7913788443
121baa019717b878
1391bc214aacaa0
143a8b118472820
151998b38674ed5
hexc1d4f23f021c

213120341443100 has 144 divisors (see below), whose sum is σ = 569209767909888. Its totient is φ = 67447354786560.

The previous prime is 213120341443073. The next prime is 213120341443103. The reversal of 213120341443100 is 1344143021312.

It is a super-2 number, since 2×2131203414431002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120341443103) 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, 383624129 + ... + 384179271.

Almost surely, 2213120341443100 is an apocalyptic number.

213120341443100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120341443100 is an abundant number, since it is smaller than the sum of its proper divisors (356089426466788).

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

213120341443100 is a wasteful number, since it uses less digits than its factorization.

213120341443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597364 (or 597357 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 213120341443100 its reverse (1344143021312), we get a palindrome (214464484464412).

The spelling of 213120341443100 in words is "two hundred thirteen trillion, one hundred twenty billion, three hundred forty-one million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 42187 84374 168748 210935 295309 421870 548431 555143 590618 843740 1054675 1096862 1110286 1181236 1476545 2109350 2193724 2220572 2742155 2775715 2953090 3839017 3886001 4218700 5484310 5551430 5906180 7216859 7382725 7678034 7772002 10968620 11102860 13710775 13878575 14433718 14765450 15356068 15544004 19195085 19430005 27421550 27757150 28867436 29530900 36084295 38390170 38860010 50518013 54843100 55514300 72168590 76780340 77720020 95975425 97150025 101036026 144337180 180421475 191950850 194300050 202072052 252590065 360842950 383901700 388600100 505180130 721685900 1010360260 1262950325 2525900650 5051801300 23419817741 46839635482 93679270964 117099088705 163938724187 234198177410 304457630633 327877448374 468396354820 585495443525 608915261266 655754896748 819693620935 1170990887050 1217830522532 1522288153165 1639387241870 2131203414431 2341981774100 3044576306330 3278774483740 4098468104675 4262406828862 6089152612660 7611440765825 8196936209350 8524813657724 10656017072155 15222881531650 16393872418700 21312034144310 30445763063300 42624068288620 53280085360775 106560170721550 213120341443100