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102303011000 = 23531923234103
BaseRepresentation
bin101111101000110111…
…1000001000010111000
3100210001200011102102102
41133101233001002320
53134004032323000
6114555232322532
710251110150201
oct1372157010270
9323050142372
10102303011000
113a428423383
12179b10a3448
13985499a248
144d46c745a8
1529db5033d5
hex17d1bc10b8

102303011000 has 128 divisors (see below), whose sum is σ = 262945612800. Its totient is φ = 37081756800.

The previous prime is 102303010987. The next prime is 102303011003. The reversal of 102303011000 is 110303201.

It is a super-2 number, since 2×1023030110002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102303011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319949 + ... + 554051.

It is an arithmetic number, because the mean of its divisors is an integer number (2054262600).

Almost surely, 2102303011000 is an apocalyptic number.

102303011000 is a gapful number since it is divisible by the number (10) 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 102303011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131472806400).

102303011000 is an abundant number, since it is smaller than the sum of its proper divisors (160642601800).

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

102303011000 is a wasteful number, since it uses less digits than its factorization.

102303011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234166 (or 234152 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 102303011000 its reverse (110303201), we get a palindrome (102413314201).

The spelling of 102303011000 in words is "one hundred two billion, three hundred three million, eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 125 152 184 190 200 230 250 380 437 460 475 500 575 760 874 920 950 1000 1150 1748 1900 2185 2300 2375 2875 3496 3800 4370 4600 4750 5750 8740 9500 10925 11500 17480 19000 21850 23000 43700 54625 87400 109250 218500 234103 437000 468206 936412 1170515 1872824 2341030 4447957 4682060 5384369 5852575 8895914 9364120 10768738 11705150 17791828 21537476 22239785 23410300 26921845 29262875 35583656 43074952 44479570 46820600 53843690 58525750 88959140 102303011 107687380 111198925 117051500 134609225 177918280 204606022 215374760 222397850 234103000 269218450 409212044 444795700 511515055 538436900 555994625 673046125 818424088 889591400 1023030110 1076873800 1111989250 1346092250 2046060220 2223978500 2557575275 2692184500 4092120440 4447957000 5115150550 5384369000 10230301100 12787876375 20460602200 25575752750 51151505500 102303011000