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1020231330200 = 235219929289001
BaseRepresentation
bin11101101100010101000…
…01101010100110011000
310121112101200020111002222
432312022201222212120
5113203413210031300
62100404322043212
7133465166136005
oct16661241524630
93545350214088
101020231330200
1136374aa967a5
121458894a9508
137529087a044
14375453488ac
151b812979785
hexed8a86a998

1020231330200 has 96 divisors (see below), whose sum is σ = 2499578298000. Its totient is φ = 386196480000.

The previous prime is 1020231330193. The next prime is 1020231330289. The reversal of 1020231330200 is 20331320201.

It is a super-2 number, since 2×10202313302002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3385700 + ... + 3674700.

Almost surely, 21020231330200 is an apocalyptic number.

1020231330200 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 1020231330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249789149000).

1020231330200 is an abundant number, since it is smaller than the sum of its proper divisors (1479346967800).

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

1020231330200 is a wasteful number, since it uses less digits than its factorization.

1020231330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289965 (or 289956 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1020231330200 its reverse (20331320201), we get a palindrome (1040562650401).

Subtracting from 1020231330200 its reverse (20331320201), we obtain a palindrome (999900009999).

The spelling of 1020231330200 in words is "one trillion, twenty billion, two hundred thirty-one million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 929 950 1858 1900 3716 3800 4645 7432 9290 17651 18580 23225 35302 37160 46450 70604 88255 92900 141208 176510 185800 289001 353020 441275 578002 706040 882550 1156004 1445005 1765100 2312008 2890010 3530200 5491019 5780020 7225025 10982038 11560040 14450050 21964076 27455095 28900100 43928152 54910190 57800200 109820380 137275475 219640760 268481929 274550950 536963858 549101900 1073927716 1098203800 1342409645 2147855432 2684819290 5101156651 5369638580 6712048225 10202313302 10739277160 13424096450 20404626604 25505783255 26848192900 40809253208 51011566510 53696385800 102023133020 127528916275 204046266040 255057832550 510115665100 1020231330200