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1012203322020 = 22325114311888693
BaseRepresentation
bin11101011101011000000…
…01001111101010100100
310120202200012010102012200
432232230001033222210
5113040443022301040
62052555542014500
7133062225164232
oct16565401175244
93522605112180
101012203322020
113603004293a0
12144208a17430
13745b15ab747
1436dc306d952
151b4e2c9a630
hexebac04faa4

1012203322020 has 144 divisors (see below), whose sum is σ = 3427367815872. Its totient is φ = 239676030720.

The previous prime is 1012203321959. The next prime is 1012203322027. The reversal of 1012203322020 is 202233022101.

1012203322020 is a `hidden beast` number, since 10 + 122 + 0 + 332 + 202 + 0 = 666.

1012203322020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1012203321984 and 1012203322002.

It is not an unprimeable number, because it can be changed into a prime (1012203322027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5859207 + ... + 6029486.

It is an arithmetic number, because the mean of its divisors is an integer number (23801165388).

Almost surely, 21012203322020 is an apocalyptic number.

1012203322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012203322020 is an abundant number, since it is smaller than the sum of its proper divisors (2415164493852).

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

1012203322020 is a wasteful number, since it uses less digits than its factorization.

1012203322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11888762 (or 11888757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1012203322020 its reverse (202233022101), we get a palindrome (1214436344121).

The spelling of 1012203322020 in words is "one trillion, twelve billion, two hundred three million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7740 8514 9460 14190 17028 21285 28380 42570 85140 11888693 23777386 35666079 47554772 59443465 71332158 106998237 118886930 130775623 142664316 178330395 213996474 237773860 261551246 356660790 392326869 427992948 511213799 523102492 534991185 653878115 713321580 784653738 1022427598 1069982370 1176980607 1307756230 1533641397 1569307476 1961634345 2044855196 2139964740 2353961214 2556068995 2615512460 3067282794 3923268690 4600924191 4707922428 5112137990 5623351789 5884903035 6134565588 7668206985 7846537380 9201848382 10224275980 11246703578 11769806070 15336413970 16870055367 18403696764 22493407156 23004620955 23539612140 28116758945 30672827940 33740110734 46009241910 50610166101 56233517890 67480221468 84350276835 92018483820 101220332202 112467035780 168700553670 202440664404 253050830505 337401107340 506101661010 1012203322020