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132200020212 = 223135318188339
BaseRepresentation
bin111101100011110111…
…1000011100011110100
3110122020020122211222220
41323013233003203310
54131221201121322
6140422025122340
712360016426311
oct1730757034364
9418206584886
10132200020212
115107a512957
12217556293b0
13c60a912440
14658174dd08
15368b08655c
hex1ec7bc38f4

132200020212 has 96 divisors (see below), whose sum is σ = 340336563840. Its totient is φ = 39688496640.

The previous prime is 132200020177. The next prime is 132200020237. The reversal of 132200020212 is 212020002231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132200020191 and 132200020200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452339 + ... + 1540677.

It is an arithmetic number, because the mean of its divisors is an integer number (3545172540).

Almost surely, 2132200020212 is an apocalyptic number.

132200020212 is a gapful number since it is divisible by the number (12) 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 132200020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170168281920).

132200020212 is an abundant number, since it is smaller than the sum of its proper divisors (208136543628).

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

132200020212 is a wasteful number, since it uses less digits than its factorization.

132200020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88593 (or 88591 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 132200020212 its reverse (212020002231), we get a palindrome (344220022443).

The spelling of 132200020212 in words is "one hundred thirty-two billion, two hundred million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 181 212 318 362 543 636 689 724 1086 1378 2067 2172 2353 2756 4134 4706 7059 8268 9412 9593 14118 19186 28236 28779 38372 57558 88339 115116 124709 176678 249418 265017 353356 374127 498836 530034 748254 1060068 1148407 1496508 2296814 3445221 4593628 4681967 6890442 9363934 13780884 14045901 15989359 18727868 28091802 31978718 47968077 56183604 60865571 63957436 95936154 121731142 182596713 191872308 207861667 243462284 365193426 415723334 623585001 730386852 831446668 847436027 1247170002 1694872054 2494340004 2542308081 3389744108 5084616162 10169232324 11016668351 22033336702 33050005053 44066673404 66100010106 132200020212