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1001120201100 = 2232521958545041
BaseRepresentation
bin11101001000101110110…
…10011111100110001100
310112201001210021112111200
432210113122133212030
5112400243232413400
62043524104145500
7132220456206315
oct16442732374614
93481053245450
101001120201100
11356633288628
12142035168290
13735363a0326
143665112360c
151b094c8cb00
hexe91769f98c

1001120201100 has 108 divisors (see below), whose sum is σ = 3303111269640. Its totient is φ = 252914572800.

The previous prime is 1001120201057. The next prime is 1001120201143. The reversal of 1001120201100 is 11020211001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001120201057) and next prime (1001120201143).

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

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, 29255421 + ... + 29289620.

Almost surely, 21001120201100 is an apocalyptic number.

1001120201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001120201100 is an abundant number, since it is smaller than the sum of its proper divisors (2301991068540).

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

1001120201100 is a wasteful number, since it uses less digits than its factorization.

1001120201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58545080 (or 58545070 counting only the distinct ones).

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

Adding to 1001120201100 its reverse (11020211001), we get a palindrome (1012140412101).

Subtracting from 1001120201100 its reverse (11020211001), we obtain a palindrome (990099990099).

The spelling of 1001120201100 in words is "one trillion, one billion, one hundred twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 58545041 117090082 175635123 234180164 292725205 351270246 526905369 585450410 702540492 878175615 1053810738 1112355779 1170900820 1463626025 1756351230 2107621476 2224711558 2634526845 2927252050 3337067337 3512702460 4390878075 4449423116 5269053690 5561778895 5854504100 6674134674 8781756150 10011202011 10538107380 11123557790 13172634225 13348269348 16685336685 17563512300 20022404022 22247115580 26345268450 27808894475 33370673370 40044808044 50056010055 52690536900 55617788950 66741346740 83426683425 100112020110 111235577900 166853366850 200224040220 250280050275 333706733700 500560100550 1001120201100