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201420134010 = 232561257142757
BaseRepresentation
bin1011101110010110010…
…0110101011001111010
3201020220022111222010100
42323211210311121322
511300002023242020
6232310420300230
720360243614254
oct2734544653172
9636808458110
10201420134010
1178470461977
1233053241676
1315cbc5ca064
149a6a954cd4
15538ce94a90
hex2ee593567a

201420134010 has 96 divisors (see below), whose sum is σ = 534352330512. Its totient is φ = 52625571840.

The previous prime is 201420133979. The next prime is 201420134021. The reversal of 201420134010 is 10431024102.

201420134010 is a `hidden beast` number, since 201 + 420 + 1 + 3 + 40 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 65234778921 + 136185355089 = 255411^2 + 369033^2 .

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

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, 1339552 + ... + 1482308.

Almost surely, 2201420134010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201420134010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267176165256).

201420134010 is an abundant number, since it is smaller than the sum of its proper divisors (332932196502).

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

201420134010 is a wasteful number, since it uses less digits than its factorization.

201420134010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143088 (or 143085 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201420134010 its reverse (10431024102), we get a palindrome (211851158112).

The spelling of 201420134010 in words is "two hundred one billion, four hundred twenty million, one hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 257 305 366 514 549 610 771 915 1098 1285 1542 1830 2313 2570 2745 3855 4626 5490 7710 11565 15677 23130 31354 47031 78385 94062 141093 142757 156770 235155 282186 285514 428271 470310 705465 713785 856542 1284813 1410930 1427570 2141355 2569626 4282710 6424065 8708177 12848130 17416354 26124531 36688549 43540885 52249062 73377098 78373593 87081770 110065647 130622655 156747186 183442745 220131294 261245310 330196941 366885490 391867965 550328235 660393882 783735930 1100656470 1650984705 2238001489 3301969410 4476002978 6714004467 11190007445 13428008934 20142013401 22380014890 33570022335 40284026802 67140044670 100710067005 201420134010