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1210001130100 = 225272961977147
BaseRepresentation
bin10001100110111001101…
…100000000001001110100
311021200020001121011022101
4101212321230000021310
5124311040242130400
62323511123311444
7153263645622520
oct21467154001164
94250201534271
101210001130100
11427182103174
1217660ab1b584
138a1445ac679
14427c88a2d80
152171cc1d56a
hex119b9b00274

1210001130100 has 144 divisors (see below), whose sum is σ = 3155171806080. Its totient is φ = 393985267200.

The previous prime is 1210001130097. The next prime is 1210001130103. The reversal of 1210001130100 is 10311000121.

It is an interprime number because it is at equal distance from previous prime (1210001130097) and next prime (1210001130103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210001130103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 749727 + ... + 1726873.

It is an arithmetic number, because the mean of its divisors is an integer number (21910915320).

Almost surely, 21210001130100 is an apocalyptic number.

1210001130100 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 1210001130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577585903040).

1210001130100 is an abundant number, since it is smaller than the sum of its proper divisors (1945170675980).

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

1210001130100 is a wasteful number, since it uses less digits than its factorization.

1210001130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977258 (or 977251 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1210001130100 its reverse (10311000121), we get a palindrome (1220312130221).

The spelling of 1210001130100 in words is "one trillion, two hundred ten billion, one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 61 70 100 116 122 140 145 175 203 244 290 305 350 406 427 580 610 700 725 812 854 1015 1220 1450 1525 1708 1769 2030 2135 2900 3050 3538 4060 4270 5075 6100 7076 8540 8845 10150 10675 12383 17690 20300 21350 24766 35380 42700 44225 49532 61915 88450 123830 176900 247660 309575 619150 977147 1238300 1954294 3908588 4885735 6840029 9771470 13680058 19542940 24428675 27360116 28337263 34200145 48857350 56674526 59605967 68400290 97714700 113349052 119211934 136800580 141686315 171000725 198360841 238423868 283372630 298029835 342001450 396721682 417241769 566745260 596059670 684002900 708431575 793443364 834483538 991804205 1192119340 1416863150 1490149175 1668967076 1728573043 1983608410 2086208845 2833726300 2980298350 3457146086 3967216820 4172417690 4959021025 5960596700 6914292172 8344835380 8642865215 9918042050 10431044225 12100011301 17285730430 19836084100 20862088450 24200022602 34571460860 41724176900 43214326075 48400045204 60500056505 86428652150 121000113010 172857304300 242000226020 302500282525 605000565050 1210001130100