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203423410300 = 2252112340120051
BaseRepresentation
bin1011110101110011111…
…0101110100001111100
3201110001221000221120111
42331130332232201330
511313102343112200
6233241301355404
720461010313025
oct2753476564174
9643057027514
10203423410300
11792a9237010
1233512108b64
131624b650746
149bbaa23c4c
155458ca30ba
hex2f5cfae87c

203423410300 has 144 divisors (see below), whose sum is σ = 503774256384. Its totient is φ = 70576000000.

The previous prime is 203423410297. The next prime is 203423410321. The reversal of 203423410300 is 3014324302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10135275 + ... + 10155325.

It is an arithmetic number, because the mean of its divisors is an integer number (3498432336).

Almost surely, 2203423410300 is an apocalyptic number.

203423410300 is a gapful number since it is divisible by the number (20) 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 203423410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251887128192).

203423410300 is an abundant number, since it is smaller than the sum of its proper divisors (300350846084).

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

203423410300 is a wasteful number, since it uses less digits than its factorization.

203423410300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20500 (or 20493 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 203423410300 its reverse (3014324302), we get a palindrome (206437734602).

The spelling of 203423410300 in words is "two hundred three billion, four hundred twenty-three million, four hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 401 460 506 550 575 802 1012 1100 1150 1265 1604 2005 2300 2530 4010 4411 5060 6325 8020 8822 9223 10025 12650 17644 18446 20050 20051 22055 25300 36892 40100 40102 44110 46115 80204 88220 92230 100255 101453 110275 184460 200510 202906 220550 220561 230575 401020 405812 441100 441122 461150 461173 501275 507265 882244 922300 922346 1002550 1014530 1102805 1844692 2005100 2029060 2205610 2305865 2536325 4411220 4611730 5072650 5072903 5514025 8040451 9223460 10145300 10145806 11028050 11529325 16080902 20291612 22056100 23058650 25364515 32161804 40202255 46117300 50729030 80404510 88444961 101458060 126822575 160809020 176889922 184930373 201011275 253645150 353779844 369860746 402022550 442224805 507290300 739721492 804045100 884449610 924651865 1768899220 1849303730 2034234103 2211124025 3698607460 4068468206 4422248050 4623259325 8136936412 8844496100 9246518650 10171170515 18493037300 20342341030 40684682060 50855852575 101711705150 203423410300