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132000213100 = 225272231171253
BaseRepresentation
bin111101011101111010…
…0110110100001101100
3110121201022200121011111
41322323310312201230
54130314023304400
6140350130401404
712352042204300
oct1727364664154
9417638617144
10132000213100
1150a87751908
12216ba730264
13c5a83c4b92
146562dbbd00
1536787693ba
hex1ebbd3686c

132000213100 has 108 divisors (see below), whose sum is σ = 347693777424. Its totient is φ = 43289473920.

The previous prime is 132000213091. The next prime is 132000213143. The reversal of 132000213100 is 1312000231.

It is a super-2 number, since 2×1320002131002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 472927 + ... + 698326.

It is an arithmetic number, because the mean of its divisors is an integer number (3219386828).

Almost surely, 2132000213100 is an apocalyptic number.

132000213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132000213100 is an abundant number, since it is smaller than the sum of its proper divisors (215693564324).

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

132000213100 is a wasteful number, since it uses less digits than its factorization.

132000213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171304 (or 1171290 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 132000213100 its reverse (1312000231), we get a palindrome (133312213331).

The spelling of 132000213100 in words is "one hundred thirty-two billion, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 140 161 175 196 230 245 322 350 460 490 575 644 700 805 980 1127 1150 1225 1610 2254 2300 2450 3220 4025 4508 4900 5635 8050 11270 16100 22540 28175 56350 112700 1171253 2342506 4685012 5856265 8198771 11712530 16397542 23425060 26938819 29281325 32795084 40993855 53877638 57391397 58562650 81987710 107755276 114782794 117125300 134694095 163975420 188571733 204969275 229565588 269388190 286956985 377143466 409938550 538776380 573913970 673470475 754286932 819877100 942858665 1147827940 1320002131 1346940950 1434784925 1885717330 2640004262 2693881900 2869569850 3771434660 4714293325 5280008524 5739139700 6600010655 9428586650 13200021310 18857173300 26400042620 33000053275 66000106550 132000213100