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201201311232 = 2933131111103
BaseRepresentation
bin1011101101100010001…
…0000101111000000000
3201020100001202121201000
42323120202011320000
511244030013424412
6232233002212000
720351645633055
oct2733042057000
9636301677630
10201201311232
11783689930a9
1232bb1ab4000
1315c8618241c
149a4987302c
155378b6d4dc
hex2ed8885e00

201201311232 has 160 divisors (see below), whose sum is σ = 600121589760. Its totient is φ = 66554542080.

The previous prime is 201201311209. The next prime is 201201311263. The reversal of 201201311232 is 232113102102.

201201311232 is a `hidden beast` number, since 2 + 0 + 120 + 1 + 311 + 232 = 666.

It is a super-2 number, since 2×2012013112322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755393 + ... + 1866495.

It is an arithmetic number, because the mean of its divisors is an integer number (3750759936).

Almost surely, 2201201311232 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 201201311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300060794880).

201201311232 is an abundant number, since it is smaller than the sum of its proper divisors (398920278528).

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

201201311232 is a wasteful number, since it uses less digits than its factorization.

201201311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111261 (or 111239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201201311232 its reverse (232113102102), we get a palindrome (433314413334).

The spelling of 201201311232 in words is "two hundred one billion, two hundred one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 192 216 256 262 288 384 393 432 512 524 576 768 786 864 1048 1152 1179 1536 1572 1728 2096 2304 2358 3144 3456 3537 4192 4608 4716 6288 6912 7074 8384 9432 12576 13824 14148 16768 18864 25152 28296 33536 37728 50304 56592 67072 75456 100608 111103 113184 150912 201216 222206 226368 301824 333309 444412 452736 603648 666618 888824 905472 999927 1333236 1777648 1810944 1999854 2666472 2999781 3555296 3999708 5332944 5999562 7110592 7999416 10665888 11999124 14221184 14554493 15998832 21331776 23998248 28442368 29108986 31997664 42663552 43663479 47996496 56884736 58217972 63995328 85327104 87326958 95992992 116435944 127990656 130990437 170654208 174653916 191985984 232871888 255981312 261980874 349307832 383971968 392971311 465743776 511962624 523961748 698615664 767943936 785942622 931487552 1047923496 1397231328 1535887872 1571885244 1862975104 2095846992 2794462656 3143770488 3725950208 4191693984 5588925312 6287540976 7451900416 8383387968 11177850624 12575081952 16766775936 22355701248 25150163904 33533551872 50300327808 67067103744 100600655616 201201311232