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213032101320 = 233253715993401
BaseRepresentation
bin1100011001100110110…
…0111110010111001000
3202100212120111000200200
43012121230332113020
511442242204220240
6241510545132200
721251063661333
oct3063154762710
9670776430620
10213032101320
118238a081875
123535402a060
131712025042c
14a44cc0561a
15581c617930
hex3199b3e5c8

213032101320 has 96 divisors (see below), whose sum is σ = 711066652920. Its totient is φ = 55273190400.

The previous prime is 213032101319. The next prime is 213032101379. The reversal of 213032101320 is 23101230312.

213032101320 is a `hidden beast` number, since 2 + 130 + 3 + 210 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 205062254244 + 7969847076 = 452838^2 + 89274^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 213032101293 and 213032101302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7983381 + ... + 8010020.

Almost surely, 2213032101320 is an apocalyptic number.

213032101320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213032101320 is an abundant number, since it is smaller than the sum of its proper divisors (498034551600).

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

213032101320 is a wasteful number, since it uses less digits than its factorization.

213032101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15993455 (or 15993448 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213032101320 its reverse (23101230312), we get a palindrome (236133331632).

The spelling of 213032101320 in words is "two hundred thirteen billion, thirty-two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 15993401 31986802 47980203 63973604 79967005 95960406 127947208 143940609 159934010 191920812 239901015 287881218 319868020 383841624 479802030 575762436 591755837 639736040 719703045 959604060 1151524872 1183511674 1439406090 1775267511 1919208120 2367023348 2878812180 2958779185 3550535022 4734046696 5325802533 5757624360 5917558370 7101070044 8876337555 10651605066 11835116740 14202140088 17752675110 21303210132 23670233480 26629012665 35505350220 42606420264 53258025330 71010700440 106516050660 213032101320