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11202120001002 = 2372383758913109
BaseRepresentation
bin1010001100000011001001…
…1000100010010111101010
31110122220122000002120110110
42203000302120202113222
52432013420210013002
635454103300355150
72234216655636300
oct243006230422752
943586560076413
1011202120001002
11362987977a257
12130b0673a5ab6
13633480a14a98
142aa28502c270
151465d5ce6e6c
hexa30326225ea

11202120001002 has 96 divisors (see below), whose sum is σ = 26135559014400. Its totient is φ = 3191584916352.

The previous prime is 11202120000943. The next prime is 11202120001019. The reversal of 11202120001002 is 20010002120211.

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, 854530024 + ... + 854543132.

It is an arithmetic number, because the mean of its divisors is an integer number (272245406400).

Almost surely, 211202120001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202120001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13067779507200).

11202120001002 is an abundant number, since it is smaller than the sum of its proper divisors (14933439013398).

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

11202120001002 is a wasteful number, since it uses less digits than its factorization.

11202120001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21100 (or 21093 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11202120001002 its reverse (20010002120211), we get a palindrome (31212122121213).

The spelling of 11202120001002 in words is "eleven trillion, two hundred two billion, one hundred twenty million, one thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 383 766 1149 2298 2681 5362 7589 8043 13109 15178 16086 18767 22767 26218 37534 39327 45534 53123 56301 78654 91763 106246 112602 159369 183526 275289 318738 371861 550578 642341 743722 1115583 1284682 1927023 2231166 2906587 3854046 5020747 5813174 8719761 10041494 15062241 17439522 20346109 30124482 35145229 40692218 61038327 70290458 99484201 105435687 122076654 142422763 198968402 210871374 246016603 284845526 298452603 427268289 492033206 596905206 696389407 738049809 854536578 1392778814 1476099618 2089168221 4178336442 4874725849 9749451698 14624177547 29248355094 38102448983 76204897966 114307346949 228614693898 266717142881 533434285762 800151428643 1600302857286 1867020000167 3734040000334 5601060000501 11202120001002