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1020012011100 = 2232524632447833
BaseRepresentation
bin11101101011111010111…
…01000001111001011100
310121111211101112220212100
432311331131001321130
5113202441033323400
62100330445205100
7133456564016505
oct16657535017134
93544741486770
101020012011100
11363648209045
12145827b60790
13752572ba524
1437524177bac
151b7ed5a6100
hexed7d741e5c

1020012011100 has 108 divisors (see below), whose sum is σ = 3204077627296. Its totient is φ = 271415612160.

The previous prime is 1020012011099. The next prime is 1020012011149. The reversal of 1020012011100 is 11102100201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 807217 + ... + 1640616.

Almost surely, 21020012011100 is an apocalyptic number.

1020012011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020012011100 is an abundant number, since it is smaller than the sum of its proper divisors (2184065616196).

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

1020012011100 is a wasteful number, since it uses less digits than its factorization.

1020012011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448316 (or 2448306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020012011100 its reverse (11102100201), we get a palindrome (1031114111301).

The spelling of 1020012011100 in words is "one trillion, twenty billion, twelve million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 463 900 926 1389 1852 2315 2778 4167 4630 5556 6945 8334 9260 11575 13890 16668 20835 23150 27780 34725 41670 46300 69450 83340 104175 138900 208350 416700 2447833 4895666 7343499 9791332 12239165 14686998 22030497 24478330 29373996 36717495 44060994 48956660 61195825 73434990 88121988 110152485 122391650 146869980 183587475 220304970 244783300 367174950 440609940 550762425 734349900 1101524850 1133346679 2203049700 2266693358 3400040037 4533386716 5666733395 6800080074 10200120111 11333466790 13600160148 17000200185 20400240222 22666933580 28333666975 34000400370 40800480444 51000600555 56667333950 68000800740 85001000925 102001201110 113334667900 170002001850 204002402220 255003002775 340004003700 510006005550 1020012011100