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213478655000 = 23541316320149
BaseRepresentation
bin1100011011010001010…
…0011100010000011000
3202102000200202022011212
43012310110130100120
511444201013430000
6242023140242252
721265125425162
oct3066424342030
9672020668155
10213478655000
11825991541a6
12354596a0388
1317191911590
14a492247932
155846924c35
hex31b451c418

213478655000 has 160 divisors (see below), whose sum is σ = 541987446000. Its totient is φ = 78335424000.

The previous prime is 213478654993. The next prime is 213478655009. The reversal of 213478655000 is 556874312.

It is a super-2 number, since 2×2134786550002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213478655009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10584926 + ... + 10605074.

Almost surely, 2213478655000 is an apocalyptic number.

213478655000 is a gapful number since it is divisible by the number (20) 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 213478655000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270993723000).

213478655000 is an abundant number, since it is smaller than the sum of its proper divisors (328508791000).

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

213478655000 is a wasteful number, since it uses less digits than its factorization.

213478655000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20351 (or 20332 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 213478655000 in words is "two hundred thirteen billion, four hundred seventy-eight million, six hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 163 200 250 260 325 326 500 520 625 650 652 815 1000 1250 1300 1304 1625 1630 2119 2500 2600 3250 3260 4075 4238 5000 6500 6520 8125 8150 8476 10595 13000 16250 16300 16952 20149 20375 21190 32500 32600 40298 40750 42380 52975 65000 80596 81500 84760 100745 101875 105950 161192 163000 201490 203750 211900 261937 264875 402980 407500 423800 503725 523874 529750 805960 815000 1007450 1047748 1059500 1309685 1324375 2014900 2095496 2119000 2518625 2619370 2648750 3284287 4029800 5037250 5238740 5297500 6548425 6568574 10074500 10477480 10595000 12593125 13096850 13137148 16421435 20149000 25186250 26193700 26274296 32742125 32842870 42695731 50372500 52387400 65484250 65685740 82107175 85391462 100745000 130968500 131371480 163710625 164214350 170782924 213478655 261937000 327421250 328428700 341565848 410535875 426957310 654842500 656857400 821071750 853914620 1067393275 1309685000 1642143500 1707829240 2052679375 2134786550 3284287000 4105358750 4269573100 5336966375 8210717500 8539146200 10673932750 16421435000 21347865500 26684831875 42695731000 53369663750 106739327500 213478655000