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202042124130 = 235711431202933
BaseRepresentation
bin1011110000101010100…
…1100010011101100010
3201022111122220100011110
42330022221202131202
511302240240433010
6232452235524150
720411535501450
oct2741251423542
9638448810143
10202042124130
117875a56a2a0
12331a75b9656
131608b424b52
149ac93c39d0
1553c78a8120
hex2f0aa62762

202042124130 has 128 divisors (see below), whose sum is σ = 605957677056. Its totient is φ = 41885164800.

The previous prime is 202042124101. The next prime is 202042124147. The reversal of 202042124130 is 31421240202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 202042124097 and 202042124106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 894144 + ... + 1097076.

It is an arithmetic number, because the mean of its divisors is an integer number (4734044352).

Almost surely, 2202042124130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202042124130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302978838528).

202042124130 is an abundant number, since it is smaller than the sum of its proper divisors (403915552926).

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

202042124130 is a wasteful number, since it uses less digits than its factorization.

202042124130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203392.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 202042124130 its reverse (31421240202), we get a palindrome (233463364332).

The spelling of 202042124130 in words is "two hundred two billion, forty-two million, one hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 431 462 770 862 1155 1293 2155 2310 2586 3017 4310 4741 6034 6465 9051 9482 12930 14223 15085 18102 23705 28446 30170 33187 45255 47410 66374 71115 90510 99561 142230 165935 199122 202933 331870 405866 497805 608799 995610 1014665 1217598 1420531 2029330 2232263 2841062 3043995 4261593 4464526 6087990 6696789 7102655 8523186 11161315 13393578 14205310 15625841 21307965 22322630 31251682 33483945 42615930 46877523 66967890 78129205 87464123 93755046 156258410 174928246 234387615 262392369 437320615 468775230 524784738 612248861 874641230 962105353 1224497722 1311961845 1836746583 1924210706 2623923690 2886316059 3061244305 3673493166 4810526765 5772632118 6122488610 6734737471 9183732915 9621053530 13469474942 14431580295 18367465830 20204212413 28863160590 33673687355 40408424826 67347374710 101021062065 202042124130