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1100300212312 = 237378340915643
BaseRepresentation
bin10000000000101111000…
…000001101100001011000
310220012001210222010121021
4100000233000031201120
5121011403323243222
62201245420052224
7142331315330050
oct20005700154130
93805053863537
101100300212312
113946a886aa44
121592b4394074
137c9b104b8b2
143b37d2d4560
151d94c002ac7
hex1002f00d858

1100300212312 has 128 divisors (see below), whose sum is σ = 2456833881600. Its totient is φ = 452147401728.

The previous prime is 1100300212309. The next prime is 1100300212369. The reversal of 1100300212312 is 2132120030011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70330363 + ... + 70346005.

It is an arithmetic number, because the mean of its divisors is an integer number (19194014700).

Almost surely, 21100300212312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100300212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228416940800).

1100300212312 is an abundant number, since it is smaller than the sum of its proper divisors (1356533669288).

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

1100300212312 is a wasteful number, since it uses less digits than its factorization.

1100300212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16181 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1100300212312 its reverse (2132120030011), we get a palindrome (3232420242323).

The spelling of 1100300212312 in words is "one trillion, one hundred billion, three hundred million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 37 56 74 83 148 166 259 296 332 409 518 581 664 818 1036 1162 1636 2072 2324 2863 3071 3272 4648 5726 6142 11452 12284 15133 15643 21497 22904 24568 30266 31286 33947 42994 60532 62572 67894 85988 105931 109501 121064 125144 135788 171976 211862 219002 237629 271576 423724 438004 475258 578791 847448 876008 950516 1157582 1256039 1298369 1901032 2315164 2512078 2596738 4051537 4630328 5024156 5193476 6397987 8103074 8792273 9088583 10048312 10386952 12795974 16206148 17584546 18177166 25591948 32412296 35169092 36354332 44785909 48039653 51183896 70338184 72708664 89571818 96079306 179143636 192158612 236725519 336277571 358287272 384317224 473451038 531032921 672555142 946902076 1062065842 1345110284 1657078633 1893804152 2124131684 2690220568 3314157266 3717230447 4248263368 6628314532 7434460894 13256629064 14868921788 19648218077 29737843576 39296436154 78592872308 137537526539 157185744616 275075053078 550150106156 1100300212312