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202433230134 = 233374312718553
BaseRepresentation
bin1011110010000111110…
…1011111010100110110
3201100111220211120202000
42330201331133110312
511304040401331014
6232555130400130
720424325031262
oct2744175372466
9640456746660
10202433230134
117894030aaa3
1233296590046
1316121471115
149b253110a2
1553ebdb1509
hex2f21f5f536

202433230134 has 128 divisors (see below), whose sum is σ = 476502343680. Its totient is φ = 63618815232.

The previous prime is 202433230121. The next prime is 202433230189. The reversal of 202433230134 is 431032334202.

202433230134 is a `hidden beast` number, since 2 + 0 + 24 + 332 + 301 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 202433230098 and 202433230107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10901802 + ... + 10920354.

It is an arithmetic number, because the mean of its divisors is an integer number (3722674560).

Almost surely, 2202433230134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202433230134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238251171840).

202433230134 is an abundant number, since it is smaller than the sum of its proper divisors (274069113546).

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

202433230134 is a wasteful number, since it uses less digits than its factorization.

202433230134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771 (or 18765 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 202433230134 its reverse (431032334202), we get a palindrome (633465564336).

The spelling of 202433230134 in words is "two hundred two billion, four hundred thirty-three million, two hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 43 54 74 86 111 127 129 222 254 258 333 381 387 666 762 774 999 1143 1161 1591 1998 2286 2322 3182 3429 4699 4773 5461 6858 9398 9546 10922 14097 14319 16383 18553 28194 28638 32766 37106 42291 42957 49149 55659 84582 85914 98298 111318 126873 147447 166977 202057 253746 294894 333954 404114 500931 606171 686461 797779 1001862 1212342 1372922 1595558 1818513 2059383 2356231 2393337 3637026 4118766 4712462 4786674 5455539 6178149 7068693 7180011 10911078 12356298 14137386 14360022 18534447 21206079 21540033 29517823 37068894 42412158 43080066 59035646 63618237 87180547 88553469 101317933 127236474 174361094 177106938 202635866 261541641 265660407 303953799 523083282 531320814 607907598 784624923 796981221 911861397 1569249846 1593962442 1823722794 2353874769 2735584191 3748763521 4707749538 5471168382 7497527042 11246290563 22492581126 33738871689 67477743378 101216615067 202433230134