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1022131230 = 235416779157
BaseRepresentation
bin111100111011000…
…111110000011110
32122020022122110020
4330323013300132
54043131144410
6245231453010
734220654301
oct7473076036
92566278406
101022131230
11484a6a35a
12246387166
131339b86a3
1499a6cb38
155eb03a70
hex3cec7c1e

1022131230 has 128 divisors (see below), whose sum is σ = 2599188480. Its totient is φ = 256988160.

The previous prime is 1022131219. The next prime is 1022131237. The reversal of 1022131230 is 321312201.

1022131230 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022131237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6510312 + ... + 6510468.

It is an arithmetic number, because the mean of its divisors is an integer number (20306160).

Almost surely, 21022131230 is an apocalyptic number.

1022131230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022131230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299594240).

1022131230 is an abundant number, since it is smaller than the sum of its proper divisors (1577057250).

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

1022131230 is a wasteful number, since it uses less digits than its factorization.

1022131230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1022131230 is about 31970.7871345077. The cubic root of 1022131230 is about 1007.3233148081.

Adding to 1022131230 its reverse (321312201), we get a palindrome (1343443431).

The spelling of 1022131230 in words is "one billion, twenty-two million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 67 79 82 123 134 157 158 201 205 237 246 314 335 395 402 410 471 474 615 670 785 790 942 1005 1185 1230 1570 2010 2355 2370 2747 3239 4710 5293 5494 6437 6478 8241 9717 10519 10586 12403 12874 13735 15879 16195 16482 19311 19434 21038 24806 26465 27470 31557 31758 32185 32390 37209 38622 41205 48585 52595 52930 62015 63114 64370 74418 79395 82410 96555 97170 105190 124030 157785 158790 186045 193110 217013 315570 372090 431279 434026 508523 651039 831001 862558 1017046 1085065 1293837 1302078 1525569 1662002 2156395 2170130 2493003 2542615 2587674 3051138 3255195 4155005 4312790 4986006 5085230 6469185 6510390 7627845 8310010 12465015 12938370 15255690 24930030 34071041 68142082 102213123 170355205 204426246 340710410 511065615 1022131230