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103313023000 = 23531171132283
BaseRepresentation
bin110000000110111101…
…1111010000000011000
3100212200001200100102021
41200031323322000120
53143041113214000
6115243352344224
710315123130455
oct1401573720030
9325601610367
10103313023000
113a8a6565340
12180333a5074
139986001595
14500106a82c
152a4a01111a
hex180defa018

103313023000 has 128 divisors (see below), whose sum is σ = 267446499840. Its totient is φ = 37038960000.

The previous prime is 103313022983. The next prime is 103313023003. The reversal of 103313023000 is 320313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313023003) 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, 714859 + ... + 847141.

It is an arithmetic number, because the mean of its divisors is an integer number (2089425780).

Almost surely, 2103313023000 is an apocalyptic number.

103313023000 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 103313023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133723249920).

103313023000 is an abundant number, since it is smaller than the sum of its proper divisors (164133476840).

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

103313023000 is a wasteful number, since it uses less digits than its factorization.

103313023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132386 (or 132372 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 103313023000 its reverse (320313301), we get a palindrome (103633336301).

The spelling of 103313023000 in words is "one hundred three billion, three hundred thirteen million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 125 142 200 220 250 275 284 355 440 500 550 568 710 781 1000 1100 1375 1420 1562 1775 2200 2750 2840 3124 3550 3905 5500 6248 7100 7810 8875 11000 14200 15620 17750 19525 31240 35500 39050 71000 78100 97625 132283 156200 195250 264566 390500 529132 661415 781000 1058264 1322830 1455113 2645660 2910226 3307075 5291320 5820452 6614150 7275565 9392093 11640904 13228300 14551130 16535375 18784186 26456600 29102260 33070750 36377825 37568372 46960465 58204520 66141500 72755650 75136744 93920930 103313023 132283000 145511300 181889125 187841860 206626046 234802325 291022600 363778250 375683720 413252092 469604650 516565115 727556500 826504184 939209300 1033130230 1174011625 1455113000 1878418600 2066260460 2348023250 2582825575 4132520920 4696046500 5165651150 9392093000 10331302300 12914127875 20662604600 25828255750 51656511500 103313023000