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1020011002020 = 223551911046253
BaseRepresentation
bin11101101011111010110…
…01001011100010100100
310121111211022122122200000
432311331121023202210
5113202440304031040
62100330411421300
7133456552314543
oct16657531134244
93544738578600
101020011002020
1136364768999a
12145827754830
137525702613a
1437523d9415a
151b7ed457130
hexed7d64b8a4

1020011002020 has 144 divisors (see below), whose sum is σ = 3377502623040. Its totient is φ = 257686966656.

The previous prime is 1020011001983. The next prime is 1020011002033. The reversal of 1020011002020 is 202001100201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020011001993 and 1020011002011.

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, 5430787 + ... + 5615466.

Almost surely, 21020011002020 is an apocalyptic number.

1020011002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020011002020 is an abundant number, since it is smaller than the sum of its proper divisors (2357491621020).

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

1020011002020 is a wasteful number, since it uses less digits than its factorization.

1020011002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11046296 (or 11046282 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020011002020 its reverse (202001100201), we get a palindrome (1222012102221).

The spelling of 1020011002020 in words is "one trillion, twenty billion, eleven million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 540 570 684 810 855 972 1026 1140 1215 1539 1620 1710 2052 2430 2565 3078 3420 4617 4860 5130 6156 7695 9234 10260 15390 18468 23085 30780 46170 92340 11046253 22092506 33138759 44185012 55231265 66277518 99416277 110462530 132555036 165693795 198832554 209878807 220925060 298248831 331387590 397665108 419757614 497081385 596497662 629636421 662775180 839515228 894746493 994162770 1049394035 1192995324 1259272842 1491244155 1789492986 1888909263 1988325540 2098788070 2518545684 2684239479 2982488310 3148182105 3578985972 3777818526 4197576140 4473732465 5368478958 5666727789 5964976620 6296364210 7555637052 8947464930 9444546315 10736957916 11333455578 12592728420 13421197395 17000183367 17894929860 18889092630 22666911156 26842394790 28333638945 34000366734 37778185260 51000550101 53684789580 56667277890 68000733468 85000916835 102001100202 113334555780 170001833670 204002200404 255002750505 340003667340 510005501010 1020011002020