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10002322201032 = 233473171132177
BaseRepresentation
bin1001000110001101100011…
…0111001001100111001000
31022102012202000212021210000
42101203120313021213020
52302334223440413112
633135000421523000
72051433603622560
oct221433067114710
938365660767700
1010002322201032
113206a63139027
121156625573460
135772a42a4885
142681876d9da0
151252b3c4c7dc
hex918d8dc99c8

10002322201032 has 160 divisors (see below), whose sum is σ = 33050855185920. Its totient is φ = 2765619002880.

The previous prime is 10002322201021. The next prime is 10002322201037. The reversal of 10002322201032 is 23010222320001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10002322200996 and 10002322201014.

It is not an unprimeable number, because it can be changed into a prime (10002322201037) 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, 35425473 + ... + 35706704.

It is an arithmetic number, because the mean of its divisors is an integer number (206567844912).

Almost surely, 210002322201032 is an apocalyptic number.

10002322201032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002322201032 is an abundant number, since it is smaller than the sum of its proper divisors (23048532984888).

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

10002322201032 is a wasteful number, since it uses less digits than its factorization.

10002322201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71132233 (or 71132220 counting only the distinct ones).

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

Adding to 10002322201032 its reverse (23010222320001), we get a palindrome (33012544521033).

The spelling of 10002322201032 in words is "ten trillion, two billion, three hundred twenty-two million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 162 168 186 189 216 217 248 252 279 324 372 378 434 504 558 567 648 651 744 756 837 868 1116 1134 1302 1512 1674 1736 1953 2232 2268 2511 2604 3348 3906 4536 5022 5208 5859 6696 7812 10044 11718 15624 17577 20088 23436 35154 46872 70308 140616 71132177 142264354 213396531 284528708 426793062 497925239 569057416 640189593 853586124 995850478 1280379186 1493775717 1707172248 1920568779 1991700956 2205097487 2560758372 2987551434 3841137558 3983401912 4410194974 4481327151 5121516744 5761706337 5975102868 6615292461 7682275116 8820389948 8962654302 11523412674 11950205736 13230584922 13443981453 15364550232 15435682409 17640779896 17925308604 19845877383 23046825348 26461169844 26887962906 30871364818 35850617208 39691754766 40331944359 46093650696 46307047227 52922339688 53775925812 59537632149 61742729636 79383509532 80663888718 92614094454 107551851624 119075264298 123485459272 138921141681 158767019064 161327777436 178612896447 185228188908 238150528596 277842283362 322655554872 357225792894 370456377816 416763425043 476301057192 555684566724 714451585788 833526850086 1111369133448 1250290275129 1428903171576 1667053700172 2500580550258 3334107400344 5001161100516 10002322201032