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1020013203300 = 2235271337363121
BaseRepresentation
bin11101101011111011000…
…01100100111101100100
310121111211110210111020220
432311331201210331210
5113202441340001200
62100330530524340
7133456610113350
oct16657541447544
93544743714226
101020013203300
11363648952833
121458284366b0
1375257617080
14375243a8460
151b7ed73e4a0
hexed7d864f64

1020013203300 has 144 divisors (see below), whose sum is σ = 3632293268352. Its totient is φ = 215211571200.

The previous prime is 1020013203299. The next prime is 1020013203323. The reversal of 1020013203300 is 33023100201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020013203300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18654261 + ... + 18708860.

It is an arithmetic number, because the mean of its divisors is an integer number (25224258808).

Almost surely, 21020013203300 is an apocalyptic number.

1020013203300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020013203300 is an abundant number, since it is smaller than the sum of its proper divisors (2612280065052).

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

1020013203300 is a wasteful number, since it uses less digits than its factorization.

1020013203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37363158 (or 37363151 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1020013203300 its reverse (33023100201), we get a palindrome (1053036303501).

The spelling of 1020013203300 in words is "one trillion, twenty billion, thirteen million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 37363121 74726242 112089363 149452484 186815605 224178726 261541847 373631210 448357452 485720573 523083694 560446815 747262420 784625541 934078025 971441146 1046167388 1120893630 1307709235 1457161719 1569251082 1868156050 1942882292 2241787260 2428602865 2615418470 2802234075 2914323438 3138502164 3400044011 3736312100 3923127705 4857205730 5230836940 5604468150 5828646876 6538546175 6800088022 7285808595 7846255410 9714411460 10200132033 11208936300 12143014325 13077092350 13600176044 14571617190 15692510820 17000220055 19615638525 20400264066 24286028650 26154184700 29143234380 34000440110 36429042975 39231277050 40800528132 48572057300 51000660165 68000880220 72858085950 78462554100 85001100275 102001320330 145716171900 170002200550 204002640660 255003300825 340004401100 510006601650 1020013203300