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132213302000 = 2453139715237
BaseRepresentation
bin111101100100010000…
…1101110001011110000
3110122021011122122011222
41323020201232023300
54131233101131000
6140423221524212
712360240344603
oct1731041561360
9418234578158
10132213302000
1151086a6473a
1221759b73668
13c6105b29a0
14658340a33a
15368c30ba85
hex1ec886e2f0

132213302000 has 160 divisors (see below), whose sum is σ = 344703812544. Its totient is φ = 48757632000.

The previous prime is 132213301999. The next prime is 132213302029. The reversal of 132213302000 is 203312231.

It is a self number, because there is not a number n which added to its sum of digits gives 132213302000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25243382 + ... + 25248618.

Almost surely, 2132213302000 is an apocalyptic number.

132213302000 is a gapful number since it is divisible by the number (10) 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 132213302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172351906272).

132213302000 is an abundant number, since it is smaller than the sum of its proper divisors (212490510544).

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

132213302000 is a wasteful number, since it uses less digits than its factorization.

132213302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 132213302000 its reverse (203312231), we get a palindrome (132416614231).

The spelling of 132213302000 in words is "one hundred thirty-two billion, two hundred thirteen million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 971 1000 1040 1300 1625 1942 2000 2600 3250 3884 4855 5200 5237 6500 7768 9710 10474 12623 13000 15536 19420 20948 24275 25246 26000 26185 38840 41896 48550 50492 52370 63115 68081 77680 83792 97100 100984 104740 121375 126230 130925 136162 194200 201968 209480 242750 252460 261850 272324 315575 340405 388400 418960 485500 504920 523700 544648 631150 654625 680810 971000 1009840 1047400 1089296 1262300 1309250 1361620 1577875 1702025 1942000 2094800 2524600 2618500 2723240 3155750 3404050 5049200 5085127 5237000 5446480 6311500 6808100 8510125 10170254 10474000 12623000 13616200 17020250 20340508 25246000 25425635 27232400 34040500 40681016 50851270 66106651 68081000 81362032 101702540 127128175 132213302 136162000 203405080 254256350 264426604 330533255 406810160 508512700 528853208 635640875 661066510 1017025400 1057706416 1271281750 1322133020 1652666275 2034050800 2542563500 2644266040 3305332550 5085127000 5288532080 6610665100 8263331375 10170254000 13221330200 16526662750 26442660400 33053325500 66106651000 132213302000