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132000101220 = 2235131097154267
BaseRepresentation
bin111101011101111010…
…0011011001101100100
3110121201022110220200210
41322323310123031210
54130314011214340
6140350124135420
712352041230151
oct1727364331544
9417638426623
10132000101220
1150a87685849
12216ba697570
13c5a8385c90
146562d8d228
153678746180
hex1ebbd1b364

132000101220 has 96 divisors (see below), whose sum is σ = 398396492928. Its totient is φ = 32462502912.

The previous prime is 132000101213. The next prime is 132000101237. The reversal of 132000101220 is 22101000231.

132000101220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1320001012203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132000101196 and 132000101205.

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, 778527 + ... + 932793.

It is an arithmetic number, because the mean of its divisors is an integer number (4149963468).

Almost surely, 2132000101220 is an apocalyptic number.

132000101220 is a gapful number since it is divisible by the number (10) 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 132000101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199198246464).

132000101220 is an abundant number, since it is smaller than the sum of its proper divisors (266396391708).

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

132000101220 is a wasteful number, since it uses less digits than its factorization.

132000101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155389 (or 155387 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 132000101220 its reverse (22101000231), we get a palindrome (154101101451).

The spelling of 132000101220 in words is "one hundred thirty-two billion, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1097 2194 3291 4388 5485 6582 10970 13164 14261 16455 21940 28522 32910 42783 57044 65820 71305 85566 142610 154267 171132 213915 285220 308534 427830 462801 617068 771335 855660 925602 1542670 1851204 2005471 2314005 3085340 4010942 4628010 6016413 8021884 9256020 10027355 12032826 20054710 24065652 30082065 40109420 60164130 120328260 169230899 338461798 507692697 676923596 846154495 1015385394 1692308990 2030770788 2200001687 2538463485 3384617980 4400003374 5076926970 6600005061 8800006748 10153853940 11000008435 13200010122 22000016870 26400020244 33000025305 44000033740 66000050610 132000101220