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1011230022120 = 233589457207187
BaseRepresentation
bin11101011011100100000…
…00011001100111101000
310120200011100200122202020
432231302000121213220
5113031444341201440
62052315212504440
7133026136236213
oct16556200314750
93520140618666
101011230022120
1135a950a9180a
12143b96a7b120
1374487a5c546
1436d2dab277a
151b4875e03d0
hexeb720199e8

1011230022120 has 128 divisors (see below), whose sum is σ = 3074504169600. Its totient is φ = 266046713856.

The previous prime is 1011230022107. The next prime is 1011230022149. The reversal of 1011230022120 is 212200321101.

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 1011230022120.

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 31 ways as a sum of consecutive naturals, for example, 4777167 + ... + 4984353.

It is an arithmetic number, because the mean of its divisors is an integer number (24019563825).

Almost surely, 21011230022120 is an apocalyptic number.

1011230022120 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 1011230022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537252084800).

1011230022120 is an abundant number, since it is smaller than the sum of its proper divisors (2063274147480).

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

1011230022120 is a wasteful number, since it uses less digits than its factorization.

1011230022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207747 (or 207743 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1011230022120 its reverse (212200321101), we get a palindrome (1223430343221).

The spelling of 1011230022120 in words is "one trillion, eleven billion, two hundred thirty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 457 534 712 890 914 1068 1335 1371 1780 1828 2136 2285 2670 2742 3560 3656 4570 5340 5484 6855 9140 10680 10968 13710 18280 27420 40673 54840 81346 122019 162692 203365 207187 244038 325384 406730 414374 488076 610095 621561 813460 828748 976152 1035935 1220190 1243122 1626920 1657496 2071870 2440380 2486244 3107805 4143740 4880760 4972488 6215610 8287480 12431220 18439643 24862440 36879286 55318929 73758572 92198215 94684459 110637858 147517144 184396430 189368918 221275716 276594645 284053377 368792860 378737836 442551432 473422295 553189290 568106754 737585720 757475672 946844590 1106378580 1136213508 1420266885 1893689180 2212757160 2272427016 2840533770 3787378360 5681067540 8426916851 11362135080 16853833702 25280750553 33707667404 42134584255 50561501106 67415334808 84269168510 101123002212 126403752765 168538337020 202246004424 252807505530 337076674040 505615011060 1011230022120