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114020020332 = 22343130413733
BaseRepresentation
bin110101000110000011…
…1110111000001101100
3101220022020210011120000
41222030013313001230
53332003111122312
6124214032424300
711144344116231
oct1521407670154
9356266704500
10114020020332
11443a0368969
121a1210a8090
13a9a130b06a
145739069788
152e74ec4adc
hex1a8c1f706c

114020020332 has 120 divisors (see below), whose sum is σ = 307869674112. Its totient is φ = 36758707200.

The previous prime is 114020020307. The next prime is 114020020333. The reversal of 114020020332 is 233020020411.

114020020332 is a `hidden beast` number, since 114 + 0 + 200 + 20 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114020020333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30541938 + ... + 30545670.

Almost surely, 2114020020332 is an apocalyptic number.

114020020332 is a gapful number since it is divisible by the number (12) 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 114020020332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153934837056).

114020020332 is an abundant number, since it is smaller than the sum of its proper divisors (193849653780).

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

114020020332 is a wasteful number, since it uses less digits than its factorization.

114020020332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 114020020332 its reverse (233020020411), we get a palindrome (347040040743).

The spelling of 114020020332 in words is "one hundred fourteen billion, twenty million, twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3041 3348 3733 5022 6082 7466 9123 10044 11199 12164 14932 18246 22398 27369 33597 36492 44796 54738 67194 82107 94271 100791 109476 115723 134388 164214 188542 201582 231446 246321 282813 302373 328428 347169 377084 403164 462892 492642 565626 604746 694338 848439 985284 1041507 1131252 1209492 1388676 1696878 2083014 2545317 3124521 3393756 4166028 5090634 6249042 7635951 9373563 10181268 11352053 12498084 15271902 18747126 22704106 30543804 34056159 37494252 45408212 68112318 102168477 136224636 204336954 306505431 351913643 408673908 613010862 703827286 919516293 1055740929 1226021724 1407654572 1839032586 2111481858 3167222787 3678065172 4222963716 6334445574 9501668361 12668891148 19003336722 28505005083 38006673444 57010010166 114020020332