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114003111032202 = 23727932869149333
BaseRepresentation
bin11001111010111101101010…
…111011111011010110001010
3112221122120221211012021221010
4121322331222323323112022
5104420311332411012302
61042244150050024350
733004311240046500
oct3172755273732612
9487576854167833
10114003111032202
11333634a2139357
12109526972780b6
134b7c5a7788542
142021acc50a670
15d2a73889516c
hex67af6aefb58a

114003111032202 has 96 divisors (see below), whose sum is σ = 268599061497600. Its totient is φ = 32158815841152.

The previous prime is 114003111032183. The next prime is 114003111032207. The reversal of 114003111032202 is 202230111300411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (114003111032207) 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, 763340728 + ... + 763490060.

It is an arithmetic number, because the mean of its divisors is an integer number (2797906890600).

Almost surely, 2114003111032202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114003111032202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134299530748800).

114003111032202 is an abundant number, since it is smaller than the sum of its proper divisors (154595950465398).

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

114003111032202 is a wasteful number, since it uses less digits than its factorization.

114003111032202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182300 (or 182293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 114003111032202 its reverse (202230111300411), we get a palindrome (316233222332613).

The spelling of 114003111032202 in words is "one hundred fourteen trillion, three billion, one hundred eleven million, thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 79 98 147 158 237 294 474 553 1106 1659 3318 3871 7742 11613 23226 32869 65738 98607 149333 197214 230083 298666 447999 460166 690249 895998 1045331 1380498 1610581 2090662 2596651 3135993 3221162 4831743 5193302 6271986 7317317 7789953 9663486 11797307 14634634 15579906 18176557 21951951 23594614 35391921 36353114 43903902 54529671 70783842 82581149 109059342 127235899 165162298 247743447 254471798 381707697 495486894 578068043 763415394 1156136086 1734204129 3468408258 4908426377 9816852754 14725279131 29450558262 34358984639 68717969278 103076953917 206153907834 240512892473 387765683783 481025784946 721538677419 775531367566 1163297051349 1443077354838 2326594102698 2714359786481 5428719572962 8143079359443 16286158718886 19000518505367 38001037010734 57001555516101 114003111032202