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2101334100 = 2235261114827
BaseRepresentation
bin111110100111111…
…1101000001010100
312102110000211110220
41331033331001110
513300420142400
6544302514340
7103034021325
oct17517750124
95373024426
102101334100
1198916a458
124a78959b0
13276467178
1415d11644c
15c472c7a0
hex7d3fd054

2101334100 has 72 divisors (see below), whose sum is σ = 6179583648. Its totient is φ = 551164800.

The previous prime is 2101334077. The next prime is 2101334107. The reversal of 2101334100 is 14331012.

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 2101334100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101334107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39114 + ... + 75713.

Almost surely, 22101334100 is an apocalyptic number.

2101334100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101334100 is an abundant number, since it is smaller than the sum of its proper divisors (4078249548).

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

2101334100 is a wasteful number, since it uses less digits than its factorization.

2101334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114905 (or 114898 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2101334100 is about 45840.3108628203. The cubic root of 2101334100 is about 1280.8502854658.

Adding to 2101334100 its reverse (14331012), we get a palindrome (2115665112).

The spelling of 2101334100 in words is "two billion, one hundred one million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 18300 114827 229654 344481 459308 574135 688962 1148270 1377924 1722405 2296540 2870675 3444810 5741350 6889620 7004447 8612025 11482700 14008894 17224050 21013341 28017788 34448100 35022235 42026682 70044470 84053364 105066705 140088940 175111175 210133410 350222350 420266820 525333525 700444700 1050667050 2101334100