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1011032213100 = 2235271337034147
BaseRepresentation
bin11101011011001100011…
…01110100011001101100
310120122122120110220210020
432231212031310121230
5113031043221304400
62052243425042140
7133021215005430
oct16554615643154
93518576426706
101011032213100
1135a85a365988
12143b40786350
1374455a915a0
1436d117009c0
151b47506a2a0
hexeb6637466c

1011032213100 has 144 divisors (see below), whose sum is σ = 3600311731968. Its totient is φ = 213316680960.

The previous prime is 1011032213047. The next prime is 1011032213171. The reversal of 1011032213100 is 13122301101.

It is a happy number.

It is a super-3 number, since 3×10110322131003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 1011032213100.

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, 18489774 + ... + 18544373.

Almost surely, 21011032213100 is an apocalyptic number.

1011032213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011032213100 is an abundant number, since it is smaller than the sum of its proper divisors (2589279518868).

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

1011032213100 is a wasteful number, since it uses less digits than its factorization.

1011032213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37034184 (or 37034177 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1011032213100 its reverse (13122301101), we get a palindrome (1024154514201).

The spelling of 1011032213100 in words is "one trillion, eleven billion, thirty-two million, two hundred thirteen thousand, one 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 37034147 74068294 111102441 148136588 185170735 222204882 259239029 370341470 444409764 481443911 518478058 555512205 740682940 777717087 925853675 962887822 1036956116 1111024410 1296195145 1444331733 1555434174 1851707350 1925775644 2222048820 2407219555 2592390290 2777561025 2888663466 3110868348 3370107377 3703414700 3888585435 4814439110 5184780580 5555122050 5777326932 6480975725 6740214754 7221658665 7777170870 9628878220 10110322131 11110244100 12036097775 12961951450 13480429508 14443317330 15554341740 16850536885 19442927175 20220644262 24072195550 25923902900 28886634660 33701073770 36108293325 38885854350 40441288524 48144391100 50551610655 67402147540 72216586650 77771708700 84252684425 101103221310 144433173300 168505368850 202206442620 252758053275 337010737700 505516106550 1011032213100