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1030132310220 = 2232513509864887
BaseRepresentation
bin11101111110110001010…
…10111010000011001100
310122110221200200101100200
432333120222322003030
5113334202332411340
62105123010253500
7134265432106656
oct16773052720314
93573850611320
101030132310220
11367970919612
12147791287290
13761aaba7ac0
1437c042936d6
151bbe1cc8330
hexefd8aba0cc

1030132310220 has 144 divisors (see below), whose sum is σ = 3371713974720. Its totient is φ = 253072562688.

The previous prime is 1030132310219. The next prime is 1030132310243. The reversal of 1030132310220 is 220132310301.

1030132310220 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 132 + 310 + 220 = 666.

It is a super-2 number, since 2×10301323102202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030132310193 and 1030132310202.

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, 758617 + ... + 1623503.

It is an arithmetic number, because the mean of its divisors is an integer number (23414680380).

Almost surely, 21030132310220 is an apocalyptic number.

1030132310220 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 1030132310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685856987360).

1030132310220 is an abundant number, since it is smaller than the sum of its proper divisors (2341581664500).

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

1030132310220 is a wasteful number, since it uses less digits than its factorization.

1030132310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865424 (or 865419 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1030132310220 its reverse (220132310301), we get a palindrome (1250264620521).

The spelling of 1030132310220 in words is "one trillion, thirty billion, one hundred thirty-two million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 509 585 780 1018 1170 1527 2036 2340 2545 3054 4581 5090 6108 6617 7635 9162 10180 13234 15270 18324 19851 22905 26468 30540 33085 39702 45810 59553 66170 79404 91620 99255 119106 132340 198510 238212 297765 397020 595530 864887 1191060 1729774 2594661 3459548 4324435 5189322 7783983 8648870 10378644 11243531 12973305 15567966 17297740 22487062 25946610 31135932 33730593 38919915 44974124 51893220 56217655 67461186 77839830 101191779 112435310 134922372 155679660 168652965 202383558 224870620 337305930 404767116 440227483 505958895 674611860 880454966 1011917790 1320682449 1760909932 2023835580 2201137415 2641364898 3962047347 4402274830 5282729796 5722957279 6603412245 7924094694 8804549660 11445914558 13206824490 15848189388 17168871837 19810236735 22891829116 26413648980 28614786395 34337743674 39620473470 51506615511 57229572790 68675487348 79240946940 85844359185 103013231022 114459145580 171688718370 206026462044 257533077555 343377436740 515066155110 1030132310220